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Weighted Inequalities Of Hardy Type
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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 Publishing Company. This book was released on 2003-04-03 with total page 377 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.
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.
Book Synopsis Weighted Norm Inequalities and Related Topics by : J. García-Cuerva
Download or read book Weighted Norm Inequalities and Related Topics written by J. García-Cuerva and published by Elsevier. This book was released on 1985 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: The unifying thread of this book is the topic of Weighted Norm Inequalities, but many other related topics are covered, including Hardy spaces, singular integrals, maximal operators, functions of bounded mean oscillation and vector valued inequalities. The emphasis is placed on basic ideas; problems are first treated in a simple context and only afterwards are further results examined.
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:
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.
Book Synopsis Weighted Inequalities of Hardy-type and Their Limiting Inequalities by : Anna Wedestig
Download or read book Weighted Inequalities of Hardy-type and Their Limiting Inequalities written by Anna Wedestig and published by . This book was released on 2003 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hardy-type Inequalities by : Bohumír Opic
Download or read book Hardy-type Inequalities written by Bohumír Opic and published by Longman Scientific and Technical. This book was released on 1990 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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.
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.
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.
Book Synopsis Weighted Hardy-Type Inequalities by : Kamilu Rauf
Download or read book Weighted Hardy-Type Inequalities written by Kamilu Rauf and published by LAP Lambert Academic Publishing. This book was released on 2012 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inequalities has become a sufficient tool in sciences especially in mathematical analysis. Hardy, Littlewood and Polya, in 1934, developed an excellent pioneering work in their book entitled ''Inequalities''. Since then, Hardy-type inequalities has received numerous attention of many researchers. The concern of researchers in this area has been to obtain a simpler method of proof to various useful inequalities. Later, weight functions were introduced and the interest was shifted to finding the necessary and sufficient conditions that will guarantee the validity of the inequalities. This monograph provided a simpler approach to the prove of some inequalities related to Hardy using standard methods and is designed to be used either as a textbook for a formal exposition or as a supplementary to all current standard texts on inequalities and mathematics in general.
Book Synopsis Weighted Inequalities Involving Hardy-type and Limiting Geometric Mean Operators by : Maria Nassyrova
Download or read book Weighted Inequalities Involving Hardy-type and Limiting Geometric Mean Operators written by Maria Nassyrova and published by . This book was released on 2002 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Weighted Inequalities In Lorentz And Orlicz Spaces by : Vakhtang Kokilashvili
Download or read book Weighted Inequalities In Lorentz And Orlicz Spaces written by Vakhtang Kokilashvili and published by World Scientific. This book was released on 1991-12-31 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as a survey of latest results on weighted inequalities in Lorentz, Orlicz spaces and Zygmund classes. During the last few years they have become one of the mostdeveloped offshoots of the theory of the harmonic analysis operators. Up to now there has been no monograph devoted to these questions, the results are mostly scattered in various journals and a part of the book consists of results not published anywhere else. Many of theorems presented have only previously been published in Russian.
Book Synopsis Hardy Inequalities by : Farzaneh Nikbakhtsarvestani
Download or read book Hardy Inequalities written by Farzaneh Nikbakhtsarvestani and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main theme of this thesis is further scrutinizing classic Hardy inequalities and expanding the study on "Optimal Hardy Inequality for General Elliptic Operators with Improvement". We rediscovered explicit integral form of Hardy inequality with the main focus on its functional aspects, including density of Sobolev space. We discuss our motivation for exploring the main Hardy inequality, with a focus on the quadratic case. The fundamental solution of Laplacian is applied for illustrating the proof of classical Hardy inequality. Furthermore, we conclude the classic Hardy inequalities for a bounded domain and Hardy's boundary inequality for smooth boundary of domain. Then, the inequalities are considered for operators more general than Laplacian and various Hardy inequalities are explored in terms of different boundary weight and interior weight of positive function E. Also The generalization of Cafferelli-Kohn-Nirenberg inequality are examined to find the optimal and not attained constant. Furthermore, the possibility of more general weighted inequalities is investigated. Finally, we consider one common type of improvement for the above-mentioned inequalities.
Book Synopsis Weighted Hardy Spaces by : Jan-Olov Strömberg
Download or read book Weighted Hardy Spaces written by Jan-Olov Strömberg and published by Springer. This book was released on 2006-11-14 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes give the basic ingredients of the theory of weighted Hardy spaces of tempered distribution on Rn and illustrate the techniques used. The authors consider properties of weights in a general setting; they derive mean value inequalities for wavelet transforms and introduce halfspace techniques with, for example, nontangential maximal functions and g-functions. This leads to several equivalent definitions of the weighted Hardy space HPW. Fourier multipliers and singular integral operators are applied to the weighted Hardy spaces and complex interpolation is considered. One tool often used here is the atomic decomposition. The methods developed by the authors using the atomic decomposition in the strictly convex case p>1 are of special interest.
Book Synopsis Weighted Inequalities for Discrete and Integral Hardy Operators by : Amir Kamaly
Download or read book Weighted Inequalities for Discrete and Integral Hardy Operators written by Amir Kamaly and published by . This book was released on 1997 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt:
