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Author : George Olatokunbo Okikiolu
Publisher :
ISBN 13 :
Total Pages : 542 pages
Book Rating : 4.3/5 (91 download)
Download or read book Aspects of the Theory of Bounded Integral Operators in Lp-spaces written by George Olatokunbo Okikiolu and published by . This book was released on 1971 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. R. Halmos
Publisher : Springer Science & Business Media
ISBN 13 : 3642670164
Total Pages : 147 pages
Book Rating : 4.6/5 (426 download)
Download or read book Bounded Integral Operators on L 2 Spaces written by P. R. Halmos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject. The phrase "integral operator" (like some other mathematically informal phrases, such as "effective procedure" and "geometric construction") is sometimes defined and sometimes not. When it is defined, the definition is likely to vary from author to author. While the definition almost always involves an integral, most of its other features can vary quite considerably. Superimposed limiting operations may enter (such as L2 limits in the theory of Fourier transforms and principal values in the theory of singular integrals), IJ' spaces and abstract Banach spaces may intervene, a scalar may be added (as in the theory of the so-called integral operators of the second kind), or, more generally, a multiplication operator may be added (as in the theory of the so-called integral operators of the third kind). The definition used in this book is the most special of all. According to it an integral operator is the natural "continuous" generali zation of the operators induced by matrices, and the only integrals that appear are the familiar Lebesgue-Stieltjes integrals on classical non-pathological mea sure spaces. The category. Some of the flavor of the theory can be perceived in finite dimensional linear algebra. Matrices are sometimes considered to be an un natural and notationally inelegant way of looking at linear transformations. From the point of view of this book that judgement misses something.
Author : George O. Okikiolu
Publisher :
ISBN 13 :
Total Pages : 522 pages
Book Rating : 4.:/5 (17 download)
Download or read book Aspects of the theory of bounded integral operators in L super p-spaces written by George O. Okikiolu and published by . This book was released on 1971 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. O. Okikiolu
Publisher :
ISBN 13 :
Total Pages : 522 pages
Book Rating : 4.:/5 (422 download)
Download or read book Aspects of the Theory of Bounded Integral Operators in L'-spaces written by G. O. Okikiolu and published by . This book was released on 1971 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Olatokunbo Okikiolu
Publisher :
ISBN 13 :
Total Pages : 522 pages
Book Rating : 4.:/5 (781 download)
Download or read book Aspects of Theory of Bounded Integral Operators in L'p Spaces written by George Olatokunbo Okikiolu and published by . This book was released on 1971 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George O. Okikiolu
Publisher :
ISBN 13 :
Total Pages : 502 pages
Book Rating : 4.:/5 (11 download)
Download or read book ASPECTS OF THE THEORY OF BOUNDED INTEGRAL OPERATORS IN L P-SPACES. VON GEORGE OLATOKUNBO. written by George O. Okikiolu and published by . This book was released on 1971 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David E. Edmunds
Publisher : Springer Science & Business Media
ISBN 13 : 940159922X
Total Pages : 655 pages
Book Rating : 4.4/5 (15 download)
Download or read book Bounded and Compact Integral Operators written by David E. Edmunds and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph presents some of the authors' recent and original results concerning boundedness and compactness problems in Banach function spaces both for classical operators and integral transforms defined, generally speaking, on nonhomogeneous spaces. Itfocuses onintegral operators naturally arising in boundary value problems for PDE, the spectral theory of differential operators, continuum and quantum mechanics, stochastic processes etc. The book may be considered as a systematic and detailed analysis of a large class of specific integral operators from the boundedness and compactness point of view. A characteristic feature of the monograph is that most of the statements proved here have the form of criteria. These criteria enable us, for example, togive var ious explicit examples of pairs of weighted Banach function spaces governing boundedness/compactness of a wide class of integral operators. The book has two main parts. The first part, consisting of Chapters 1-5, covers theinvestigation ofclassical operators: Hardy-type transforms, fractional integrals, potentials and maximal functions. Our main goal is to give a complete description of those Banach function spaces in which the above-mentioned operators act boundedly (com pactly). When a given operator is not bounded (compact), for example in some Lebesgue space, we look for weighted spaces where boundedness (compact ness) holds. We develop the ideas and the techniques for the derivation of appropriate conditions, in terms of weights, which are equivalent to bounded ness (compactness).
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Author : Paul Richard Halmos
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (144 download)
Download or read book Bounded Integral Operators on L [squared] Spaces written by Paul Richard Halmos and published by . This book was released on 1978 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul Richard Halmos
Publisher : Springer
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.3/5 (91 download)
Download or read book Bounded Integral Operators on L2 Spaces written by Paul Richard Halmos and published by Springer. This book was released on 1978 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Viktor G. Kravchenko
Publisher : Springer Science & Business Media
ISBN 13 : 9401111804
Total Pages : 304 pages
Book Rating : 4.4/5 (11 download)
Download or read book Introduction to the Theory of Singular Integral Operators with Shift written by Viktor G. Kravchenko and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the Fredholm theory of singular integral operators with shift in Lp, 1
Author : Vakhtang Kokilashvili
Publisher : Birkhäuser
ISBN 13 : 3319210157
Total Pages : 585 pages
Book Rating : 4.3/5 (192 download)
Download or read book Integral Operators in Non-Standard Function Spaces written by Vakhtang Kokilashvili and published by Birkhäuser. This book was released on 2016-05-11 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the result of the authors' long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces and presents a systematic study of the boundedness and compactness properties of basic, harmonic analysis integral operators in the following function spaces, among others: variable exponent Lebesgue and amalgam spaces, variable Hölder spaces, variable exponent Campanato, Morrey and Herz spaces, Iwaniec-Sbordone (grand Lebesgue) spaces, grand variable exponent Lebesgue spaces unifying the two spaces mentioned above, grand Morrey spaces, generalized grand Morrey spaces, and weighted analogues of some of them. The results obtained are widely applied to non-linear PDEs, singular integrals and PDO theory. One of the book's most distinctive features is that the majority of the statements proved here are in the form of criteria. The book is intended for a broad audience, ranging from researchers in the area to experts in applied mathematics and prospective students.
Author : Mark Aleksandrovich Krasnoselʹskiĭ
Publisher :
ISBN 13 :
Total Pages : 544 pages
Book Rating : 4.3/5 (91 download)
Download or read book Integral Operators in Spaces of Summable Functions written by Mark Aleksandrovich Krasnoselʹskiĭ and published by . This book was released on 1976 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vakhtang Kokilashvili
Publisher : Birkhäuser
ISBN 13 : 3319210181
Total Pages : 455 pages
Book Rating : 4.3/5 (192 download)
Download or read book Integral Operators in Non-Standard Function Spaces written by Vakhtang Kokilashvili and published by Birkhäuser. This book was released on 2016-05-12 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the result of the authors’ long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces and presents a systematic study of the boundedness and compactness properties of basic, harmonic analysis integral operators in the following function spaces, among others: variable exponent Lebesgue and amalgam spaces, variable Hölder spaces, variable exponent Campanato, Morrey and Herz spaces, Iwaniec-Sbordone (grand Lebesgue) spaces, grand variable exponent Lebesgue spaces unifying the two spaces mentioned above, grand Morrey spaces, generalized grand Morrey spaces, and weighted analogues of some of them. The results obtained are widely applied to non-linear PDEs, singular integrals and PDO theory. One of the book’s most distinctive features is that the majority of the statements proved here are in the form of criteria. The book is intended for a broad audience, ranging from researchers in the area to experts in applied mathematics and prospective students.
Author : Anupama Gupta
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783659288777
Total Pages : 148 pages
Book Rating : 4.2/5 (887 download)
Download or read book Bounded Weighted Composite Integral Operators written by Anupama Gupta and published by LAP Lambert Academic Publishing. This book was released on 2012 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a study of bounded weighted composite integral operators. The book is divided into five chapters and each chapter is further divided into several sections except the first chapter. The first chapter contains some introductory material. The composite integral operators are studied in the second chapter. The third chapter is devoted to a study of weighted composite integral operators. The linear and non-linear integral operator operators are reported in the fourth chapter. In the fifth chapter we characterize Frobenius-Perron operators between two Lp- spaces.
Author : Vladimir Dybin
Publisher : Birkhäuser
ISBN 13 : 3034882130
Total Pages : 306 pages
Book Rating : 4.0/5 (348 download)
Download or read book Introduction to the Theory of Toeplitz Operators with Infinite Index written by Vladimir Dybin and published by Birkhäuser. This book was released on 2012-12-06 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to Toeplitz and singular integral operators with symbols that have discontinuities of the oscillating type. Criteria for the normal solvability of such operators are established and several methods for describing the kernel and image spaces of the operators are presented. The approach is based on the idea of modelling discontinuities with an "infinite index" by appropriate inner functions, especially by infinite Blaschke products. The corresponding techniques have been elaborated by the authors during the last two decades, and they are applicable to both symbols with slowly and rapidly increasing arguments. Moreover, the book reveals exciting connections between invariant subspaces of the shift operator, bases in Banach spaces, and various classes of entire and meromorphic functions. The book aims at making advanced topics accessible to a broad readership. It is addressed to graduate and postgraduate students and to mathematicians interested in functional analysis, the theory of functions of a complex variable, or mathematical physics.
Author : Jurgen Appell
Publisher : CRC Press
ISBN 13 : 9780824703967
Total Pages : 582 pages
Book Rating : 4.7/5 (39 download)
Download or read book Partial Integral Operators and Integro-Differential Equations written by Jurgen Appell and published by CRC Press. This book was released on 2000-02-29 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained account of integro-differential equations of the Barbashin type and partial integral operators. It presents the basic theory of Barbashin equations in spaces of continuous or measurable functions, including existence, uniqueness, stability and perturbation results. The theory and applications of partial integral operators and linear and nonlinear equations is discussed. Topics range from abstract functional-analytic approaches to specific uses in continuum mechanics and engineering.
Author : Israel C. Gohberg
Publisher : Springer Science & Business Media
ISBN 13 : 9783764358907
Total Pages : 354 pages
Book Rating : 4.3/5 (589 download)
Download or read book Differential and Integral Operators written by Israel C. Gohberg and published by Springer Science & Business Media. This book was released on 1998-02-18 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Limit behaviour in a singular perturbation problem, regularized convolution operators and the three-body quantum problem.- Banach algebras of functions on nonsmooth domains.- A nonlinear approach to generalized factorization of matrix functions.- Completeness of scattering systems with obstacles of finite capacity.- Examples of positive operators in a Krein space with 0 a regular critical point of infinite rank.- On Hilbert-Schmidt operators and determinants corresponding to periodic ODE systems.- On estimates of the first eigenvalue in some elliptic problems.- Nonsingularity of critical points of some differential and difference operators.- A nonlinear spectral problem with periodic coefficients occurring in magnetohydrodynamics.- An evolutionary problem of a flow of a nonlinear viscous fluid in a deformable visoelastic tube.- Quantum compound Poisson processes and white noise analysis.- Invariant and hyperinvariant subspaces of direct sums of simple Volterra operators.- Some interior and exterior boundary-value problems for the Helmholtz equation in a quadrant.- Interpolation of some function spaces and indefinite Sturm-Liouville problems.- Mellin pseudodifferential operator techniques in the theory of singular integral operators on some Carleson curves.- Wiener-Hopf factorization of singular matrix functions.- Elliptic boundary value problems for general elliptic systems in complete scales of Banach spaces.- Classic spectral problems.- Mellin operators in a pseudodifferential calculus for boundary value problems on manifolds with edges.- On some global aspects of the theory of partial differential equations on manifolds with singularities.- Green's formula for elliptic operators with a shift and its applications.- On second order linear differential equations with inverse square singularities.
