Weighted Inequalities Of Hardy Type Second Edition

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Weighted Inequalities Of Hardy Type (Second Edition)

Author : Lars-erik Persson
Publisher : World Scientific Publishing Company
ISBN 13 : 9813140666
Total Pages : 480 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Weighted Inequalities Of Hardy Type (Second Edition) by : Lars-erik Persson

Download or read book Weighted Inequalities Of Hardy Type (Second Edition) written by Lars-erik Persson and published by World Scientific Publishing Company. This book was released on 2017-06-16 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inequalities play an important role in almost all branches of mathematics as well as in other areas of science and engineering. This book surveys the present state of the theory of weighted integral inequalities of Hardy type, including modifications concerning Hardy-Steklov operators, and some basic results about Hardy-type inequalities and their limit (Carleman-Knopp type) inequalities. It also describes some rather new areas such as higher order and fractional order Hardy-type inequalities and integral inequalities on the cone of monotone functions, together with some applications and open problems.In this second edition, all chapters in the first edition have been updated with new information. Moreover, a new chapter contains new and complementary information concerning: (a) a convexity approach to prove and explain Hardy-type inequalities; (b) sharp constants; (c) scales of inequalities to characterize Hardy-type inequalities; (d) Hardy-type inequalities in other function spaces; and (e) a number of new open questions.

Weighted Inequalities of Hardy Type

Author : Alois Kufner
Publisher : World Scientific
ISBN 13 : 9789812381958
Total Pages : 380 pages
Book Rating : 4.3/5 (819 download)

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Book Synopsis Weighted Inequalities of Hardy Type by : Alois Kufner

Download or read book Weighted Inequalities of Hardy Type written by Alois Kufner and published by World Scientific. This book was released on 2003 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inequalities play an important role in almost all branches of mathematics as well as in other areas of science and engineering. This book surveys the present state of the theory of weighted integral inequalities of Hardy type, including modifications concerning Hardy-Steklov operators, and some basic results about Hardy type inequalities and their limit (Carleman-Knopp type) inequalities. It also describes some rather new fields such as higher order and fractional order Hardy type inequalities and integral inequalities on the cone of monotone functions together with some applications and open problems. The book can serve as a reference and a source of inspiration for researchers working in these and related areas, but could also be used for advanced graduate courses.

Hardy Inequalities on Homogeneous Groups

Author : Michael Ruzhansky
Publisher : Springer
ISBN 13 : 303002895X
Total Pages : 579 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Hardy Inequalities on Homogeneous Groups by : Michael Ruzhansky

Download or read book Hardy Inequalities on Homogeneous Groups written by Michael Ruzhansky and published by Springer. This book was released on 2019-07-02 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects. While describing the general theory of Hardy, Rellich, Caffarelli-Kohn-Nirenberg, Sobolev, and other inequalities in the setting of general homogeneous groups, the authors pay particular attention to the special class of stratified groups. In this environment, the theory of Hardy inequalities becomes intricately intertwined with the properties of sub-Laplacians and subelliptic partial differential equations. These topics constitute the core of this book and they are complemented by additional, closely related topics such as uncertainty principles, function spaces on homogeneous groups, the potential theory for stratified groups, and the potential theory for general Hörmander's sums of squares and their fundamental solutions. This monograph is the winner of the 2018 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics. As can be attested as the winner of such an award, it is a vital contribution to literature of analysis not only because it presents a detailed account of the recent developments in the field, but also because the book is accessible to anyone with a basic level of understanding of analysis. Undergraduate and graduate students as well as researchers from any field of mathematical and physical sciences related to analysis involving functional inequalities or analysis of homogeneous groups will find the text beneficial to deepen their understanding.

Hardy Operators On Euclidean Spaces And Related Topics

Author : Shanzhen Lu
Publisher : World Scientific
ISBN 13 : 9811253692
Total Pages : 215 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Hardy Operators On Euclidean Spaces And Related Topics by : Shanzhen Lu

Download or read book Hardy Operators On Euclidean Spaces And Related Topics written by Shanzhen Lu and published by World Scientific. This book was released on 2023-03-23 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many branches of mathematical analysis and mathematical physics, the Hardy operator and Hardy inequality are fundamentally important and have been intensively studied ever since the pioneer researches. This volume presents new properties of higher-dimensional Hardy operators obtained by the authors and their collaborators over the last decade. Its prime focus is on higher-dimensional Hardy operators that are based on the spherical average form.The key motivation for this monograph is based on the fact that the Hardy operator is generally smaller than the Hardy-Littlewood maximal operator, which leads to, on the one hand, the operator norm of the Hardy operator itself being smaller than the latter. On the other hand, the former characterizing the weight function class or function spaces is greater than the latter.

Hardy Inequalities and Applications

Author : Nikolai Kutev
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110980371
Total Pages : 158 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Hardy Inequalities and Applications by : Nikolai Kutev

Download or read book Hardy Inequalities and Applications written by Nikolai Kutev and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-10-24 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book derives new Hardy inequalities with double singular weights - at an interior point and on the boundary of the domain. We focus on the optimality of Hardy constant and on its attainability. Applications include: results about existence\nonexistence and controllability for parabolic equations with double singular potentials; estimates from below of the fi rst eigenvalue of p-Laplacian with Dirichlet boundary conditions.

Convex Functions and Their Applications

Author : Constantin P. Niculescu
Publisher : Springer
ISBN 13 : 3319783378
Total Pages : 430 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Convex Functions and Their Applications by : Constantin P. Niculescu

Download or read book Convex Functions and Their Applications written by Constantin P. Niculescu and published by Springer. This book was released on 2018-06-08 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thorough introduction to an important area of mathematics Contains recent results Includes many exercises

Hardy Type Inequalities on Time Scales

Author : Ravi P. Agarwal
Publisher : Springer
ISBN 13 : 3319442996
Total Pages : 309 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Hardy Type Inequalities on Time Scales by : Ravi P. Agarwal

Download or read book Hardy Type Inequalities on Time Scales written by Ravi P. Agarwal and published by Springer. This book was released on 2016-10-20 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to dynamic inequalities of Hardy type and extensions and generalizations via convexity on a time scale T. In particular, the book contains the time scale versions of classical Hardy type inequalities, Hardy and Littlewood type inequalities, Hardy-Knopp type inequalities via convexity, Copson type inequalities, Copson-Beesack type inequalities, Liendeler type inequalities, Levinson type inequalities and Pachpatte type inequalities, Bennett type inequalities, Chan type inequalities, and Hardy type inequalities with two different weight functions. These dynamic inequalities contain the classical continuous and discrete inequalities as special cases when T = R and T = N and can be extended to different types of inequalities on different time scales such as T = hN, h > 0, T = qN for q > 1, etc.In this book the authors followed the history and development of these inequalities. Each section in self-contained and one can see the relationship between the time scale versions of the inequalities and the classical ones. To the best of the authors’ knowledge this is the first book devoted to Hardy-typeinequalities and their extensions on time scales.

Weighted Inequalities Of Hardy Type (Second Edition)

Author : Lars-Erik Persson
Publisher :
ISBN 13 : 9789813140653
Total Pages : 480 pages
Book Rating : 4.1/5 (46 download)

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Book Synopsis Weighted Inequalities Of Hardy Type (Second Edition) by : Lars-Erik Persson

Download or read book Weighted Inequalities Of Hardy Type (Second Edition) written by Lars-Erik Persson and published by . This book was released on 2017 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Operator and Norm Inequalities and Related Topics

Author : Richard M. Aron
Publisher : Springer Nature
ISBN 13 : 3031021045
Total Pages : 822 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Operator and Norm Inequalities and Related Topics by : Richard M. Aron

Download or read book Operator and Norm Inequalities and Related Topics written by Richard M. Aron and published by Springer Nature. This book was released on 2022-08-10 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inequalities play a central role in mathematics with various applications in other disciplines. The main goal of this contributed volume is to present several important matrix, operator, and norm inequalities in a systematic and self-contained fashion. Some powerful methods are used to provide significant mathematical inequalities in functional analysis, operator theory and numerous fields in recent decades. Some chapters are devoted to giving a series of new characterizations of operator monotone functions and some others explore inequalities connected to log-majorization, relative operator entropy, and the Ando-Hiai inequality. Several chapters are focused on Birkhoff–James orthogonality and approximate orthogonality in Banach spaces and operator algebras such as C*-algebras from historical perspectives to current development. A comprehensive account of the boundedness, compactness, and restrictions of Toeplitz operators can be found in the book. Furthermore, an overview of the Bishop-Phelps-Bollobás theorem is provided. The state-of-the-art of Hardy-Littlewood inequalities in sequence spaces is given. The chapters are written in a reader-friendly style and can be read independently. Each chapter contains a rich bibliography. This book is intended for use by both researchers and graduate students of mathematics, physics, and engineering.

Inequalities In Analysis And Probability (Second Edition)

Author : Odile Pons
Publisher : World Scientific
ISBN 13 : 9813144009
Total Pages : 309 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Inequalities In Analysis And Probability (Second Edition) by : Odile Pons

Download or read book Inequalities In Analysis And Probability (Second Edition) written by Odile Pons and published by World Scientific. This book was released on 2016-11-03 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is aimed at graduate students and researchers with basic knowledge of Probability and Integration Theory. It introduces classical inequalities in vector and functional spaces with applications to probability. It also develops new extensions of the analytical inequalities, with sharper bounds and generalizations to the sum or the supremum of random variables, to martingales and to transformed Brownian motions. The proofs of many new results are presented in great detail. Original tools are developed for spatial point processes and stochastic integration with respect to local martingales in the plane.This second edition covers properties of random variables and time continuous local martingales with a discontinuous predictable compensator, with exponential inequalities and new inequalities for their maximum variable and their p-variations. A chapter on stochastic calculus presents the exponential sub-martingales developed for stationary processes and their properties. Another chapter devoted itself to the renewal theory of processes and to semi-Markovian processes, branching processes and shock processes. The Chapman-Kolmogorov equations for strong semi-Markovian processes provide equations for their hitting times in a functional setting which extends the exponential properties of the Markovian processes.

Weighted Inequalities Involving P-quasiconcave Operators

Author : William Desmond Evans
Publisher : World Scientific
ISBN 13 : 9813239646
Total Pages : 157 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Weighted Inequalities Involving P-quasiconcave Operators by : William Desmond Evans

Download or read book Weighted Inequalities Involving P-quasiconcave Operators written by William Desmond Evans and published by World Scientific. This book was released on 2018-07-18 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some problems in mathematical analysis (e.g., in theory of function spaces, in approximation theory or in interpolation theory) lead to the investigation of weighted inequalities on certain classes of quasiconcave functions on the interval I=(a,b) ∊ R. In this book we analyse the class Qρ(I) of ρ-quasiconcave functions in a complete generality in order to establish results needed for a comprehensive study of weighted inequalities on the class Qρ(I). We illustrate our results on weighted inequalities of Hardy type, on weighted inequalities of Hardy type involving supremum, and on reverse forms of these inequalities.

Harmonic Analysis on the Real Line

Author : Elijah Liflyand
Publisher : Springer Nature
ISBN 13 : 3030818926
Total Pages : 199 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Harmonic Analysis on the Real Line by : Elijah Liflyand

Download or read book Harmonic Analysis on the Real Line written by Elijah Liflyand and published by Springer Nature. This book was released on 2021-09-27 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book sketches a path for newcomers into the theory of harmonic analysis on the real line. It presents a collection of both basic, well-known and some less known results that may serve as a background for future research around this topic. Many of these results are also a necessary basis for multivariate extensions. An extensive bibliography, as well as hints to open problems are included. The book can be used as a skeleton for designing certain special courses, but it is also suitable for self-study.

Analysis and Applied Mathematics

Author : Allaberen Ashyralyev
Publisher : Springer Nature
ISBN 13 : 3031626680
Total Pages : 250 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Analysis and Applied Mathematics by : Allaberen Ashyralyev

Download or read book Analysis and Applied Mathematics written by Allaberen Ashyralyev and published by Springer Nature. This book was released on with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Function Spaces and Applications

Author : David Eric Edmunds
Publisher : CRC Press
ISBN 13 : 9780849309380
Total Pages : 296 pages
Book Rating : 4.3/5 (93 download)

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Book Synopsis Function Spaces and Applications by : David Eric Edmunds

Download or read book Function Spaces and Applications written by David Eric Edmunds and published by CRC Press. This book was released on 2000 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed from the proceedings an international conference held in 1997, Function Spaces and Applications presents the work of leading mathematicians in the vital and rapidly growing field of functional analysis.

Hardy-Type Inequalities

Author : B. Opic
Publisher :
ISBN 13 : 9780608035987
Total Pages : 351 pages
Book Rating : 4.0/5 (359 download)

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Book Synopsis Hardy-Type Inequalities by : B. Opic

Download or read book Hardy-Type Inequalities written by B. Opic and published by . This book was released on 1990-01-01 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modern Problems in PDEs and Applications

Author : Marianna Chatzakou
Publisher : Springer Nature
ISBN 13 : 3031567323
Total Pages : 187 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Modern Problems in PDEs and Applications by : Marianna Chatzakou

Download or read book Modern Problems in PDEs and Applications written by Marianna Chatzakou and published by Springer Nature. This book was released on 2024 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principal aim of the volume is gathering all the contributions given by the speakers (mini courses) and some of the participants (short talks) of the summer school "Modern Problems in PDEs and Applications" held at the Ghent Analysis and PDE Center from 23 August to 2 September 2023. The school was devoted to the study of new techniques and approaches for solving partial differential equations, which can either be considered or arise from the physical point of view or the mathematical perspective. Both sides are extremely important since theories and methods can be developed independently, aiming to gather each other in a common objective. The aim of the summer school was to progress and advance in the problems considered. Note that real-world problems and their applications are classical study trends in physical or mathematical modelling. The summer school was organised in a friendly atmosphere and synergy, and it was an excellent opportunity to promote and encourage the development of the subject in the community.

From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory

Author : Fritz Gesztesy
Publisher : Springer Nature
ISBN 13 : 3030754251
Total Pages : 388 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory by : Fritz Gesztesy

Download or read book From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory written by Fritz Gesztesy and published by Springer Nature. This book was released on 2021-11-11 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main topics of this volume, dedicated to Lance Littlejohn, are operator and spectral theory, orthogonal polynomials, combinatorics, number theory, and the various interplays of these subjects. Although the event, originally scheduled as the Baylor Analysis Fest, had to be postponed due to the pandemic, scholars from around the globe have contributed research in a broad range of mathematical fields. The collection will be of interest to both graduate students and professional mathematicians. Contributors are: G.E. Andrews, B.M. Brown, D. Damanik, M.L. Dawsey, W.D. Evans, J. Fillman, D. Frymark, A.G. García, L.G. Garza, F. Gesztesy, D. Gómez-Ullate, Y. Grandati, F.A. Grünbaum, S. Guo, M. Hunziker, A. Iserles, T.F. Jones, K. Kirsten, Y. Lee, C. Liaw, F. Marcellán, C. Markett, A. Martinez-Finkelshtein, D. McCarthy, R. Milson, D. Mitrea, I. Mitrea, M. Mitrea, G. Novello, D. Ong, K. Ono, J.L. Padgett, M.M.M. Pang, T. Poe, A. Sri Ranga, K. Schiefermayr, Q. Sheng, B. Simanek, J. Stanfill, L. Velázquez, M. Webb, J. Wilkening, I.G. Wood, M. Zinchenko.