Function Spaces And Inequalities
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Author |
: David R. Adams |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 372 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9783662032824 |
ISBN-13 |
: 3662032821 |
Rating |
: 4/5 (24 Downloads) |
Synopsis Function Spaces and Potential Theory by : David R. Adams
"..carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included...will certainly be a primary source that I shall turn to." Proceedings of the Edinburgh Mathematical Society
Author |
: Pankaj Jain |
Publisher |
: Springer |
Total Pages |
: 334 |
Release |
: 2017-10-20 |
ISBN-10 |
: 9789811061196 |
ISBN-13 |
: 981106119X |
Rating |
: 4/5 (96 Downloads) |
Synopsis Function Spaces and Inequalities by : Pankaj Jain
This book features original research and survey articles on the topics of function spaces and inequalities. It focuses on (variable/grand/small) Lebesgue spaces, Orlicz spaces, Lorentz spaces, and Morrey spaces and deals with mapping properties of operators, (weighted) inequalities, pointwise multipliers and interpolation. Moreover, it considers Sobolev–Besov and Triebel–Lizorkin type smoothness spaces. The book includes papers by leading international researchers, presented at the International Conference on Function Spaces and Inequalities, held at the South Asian University, New Delhi, India, on 11–15 December 2015, which focused on recent developments in the theory of spaces with variable exponents. It also offers further investigations concerning Sobolev-type embeddings, discrete inequalities and harmonic analysis. Each chapter is dedicated to a specific topic and written by leading experts, providing an overview of the subject and stimulating future research.
Author |
: Michael Ulbrich |
Publisher |
: SIAM |
Total Pages |
: 315 |
Release |
: 2011-07-28 |
ISBN-10 |
: 9781611970685 |
ISBN-13 |
: 1611970687 |
Rating |
: 4/5 (85 Downloads) |
Synopsis Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces by : Michael Ulbrich
A comprehensive treatment of semismooth Newton methods in function spaces: from their foundations to recent progress in the field. This book is appropriate for researchers and practitioners in PDE-constrained optimization, nonlinear optimization and numerical analysis, as well as engineers interested in the current theory and methods for solving variational inequalities.
Author |
: B. Malcolm Brown |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 269 |
Release |
: 2011-11-06 |
ISBN-10 |
: 9783034802635 |
ISBN-13 |
: 3034802633 |
Rating |
: 4/5 (35 Downloads) |
Synopsis Spectral Theory, Function Spaces and Inequalities by : B. Malcolm Brown
This is a collection of contributed papers which focus on recent results in areas of differential equations, function spaces, operator theory and interpolation theory. In particular, it covers current work on measures of non-compactness and real interpolation, sharp Hardy-Littlewood-Sobolev inequalites, the HELP inequality, error estimates and spectral theory of elliptic operators, pseudo differential operators with discontinuous symbols, variable exponent spaces and entropy numbers. These papers contribute to areas of analysis which have been and continue to be heavily influenced by the leading British analysts David Edmunds and Des Evans. This book marks their respective 80th and 70th birthdays.
Author |
: Vakhtang Kokilashvili |
Publisher |
: Birkhäuser |
Total Pages |
: 585 |
Release |
: 2016-05-11 |
ISBN-10 |
: 9783319210155 |
ISBN-13 |
: 3319210157 |
Rating |
: 4/5 (55 Downloads) |
Synopsis Integral Operators in Non-Standard Function Spaces by : Vakhtang Kokilashvili
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 |
: Haim Brezis |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 600 |
Release |
: 2010-11-02 |
ISBN-10 |
: 9780387709147 |
ISBN-13 |
: 0387709142 |
Rating |
: 4/5 (47 Downloads) |
Synopsis Functional Analysis, Sobolev Spaces and Partial Differential Equations by : Haim Brezis
This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.
Author |
: Themistocles RASSIAS |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 335 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9789401143417 |
ISBN-13 |
: 9401143412 |
Rating |
: 4/5 (17 Downloads) |
Synopsis Functional Equations and Inequalities by : Themistocles RASSIAS
This volume provides an extensive study of some of the most important topics of current interest in functional equations and inequalities. Subjects dealt with include: a Pythagorean functional equation, a functional definition of trigonometric functions, the functional equation of the square root spiral, a conditional Cauchy functional equation, an iterative functional equation, the Hille-type functional equation, the polynomial-like iterative functional equation, distribution of zeros and inequalities for zeros of algebraic polynomials, a qualitative study of Lobachevsky's complex functional equation, functional inequalities in special classes of functions, replicativity and function spaces, normal distributions, some difference equations, finite sums, decompositions of functions, harmonic functions, set-valued quasiconvex functions, the problems of expressibility in some extensions of free groups, Aleksandrov problem and mappings which preserve distances, Ulam's problem, stability of some functional equation for generalized trigonometric functions, Hyers-Ulam stability of Hosszú's equation, superstability of a functional equation, and some demand functions in a duopoly market with advertising. Audience: This book will be of interest to mathematicians and graduate students whose work involves real functions, functions of a complex variable, functional analysis, integral transforms, and operational calculus.
Author |
: Vladimir Maz'ya |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 882 |
Release |
: 2011-02-11 |
ISBN-10 |
: 9783642155642 |
ISBN-13 |
: 3642155642 |
Rating |
: 4/5 (42 Downloads) |
Synopsis Sobolev Spaces by : Vladimir Maz'ya
Sobolev spaces play an outstanding role in modern analysis, in particular, in the theory of partial differential equations and its applications in mathematical physics. They form an indispensable tool in approximation theory, spectral theory, differential geometry etc. The theory of these spaces is of interest in itself being a beautiful domain of mathematics. The present volume includes basics on Sobolev spaces, approximation and extension theorems, embedding and compactness theorems, their relations with isoperimetric and isocapacitary inequalities, capacities with applications to spectral theory of elliptic differential operators as well as pointwise inequalities for derivatives. The selection of topics is mainly influenced by the author’s involvement in their study, a considerable part of the text is a report on his work in the field. Part of this volume first appeared in German as three booklets of Teubner-Texte zur Mathematik (1979, 1980). In the Springer volume “Sobolev Spaces”, published in English in 1985, the material was expanded and revised. The present 2nd edition is enhanced by many recent results and it includes new applications to linear and nonlinear partial differential equations. New historical comments, five new chapters and a significantly augmented list of references aim to create a broader and modern view of the area.
Author |
: Vladimir Maz'ya |
Publisher |
: Springer |
Total Pages |
: 0 |
Release |
: 2010-11-23 |
ISBN-10 |
: 1441927573 |
ISBN-13 |
: 9781441927576 |
Rating |
: 4/5 (73 Downloads) |
Synopsis Sobolev Spaces in Mathematics I by : Vladimir Maz'ya
This volume mark’s the centenary of the birth of the outstanding mathematician of the 20th century, Sergey Sobolev. It includes new results on the latest topics of the theory of Sobolev spaces, partial differential equations, analysis and mathematical physics.
Author |
: Silvestru Sever Dragomir |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 121 |
Release |
: 2011-12-08 |
ISBN-10 |
: 9781461417798 |
ISBN-13 |
: 1461417791 |
Rating |
: 4/5 (98 Downloads) |
Synopsis Operator Inequalities of Ostrowski and Trapezoidal Type by : Silvestru Sever Dragomir
Inequalities of Ostrowski and Trapezoidal Type for Functions of Selfadjoint Operators on Hilbert Spaces presents recent results concerning Ostrowski and Trapezoidal type inequalities for continuous functions of bounded Selfadjoint operators on complex Hilbert spaces. The first chapter recalls some fundamental facts concerning bounded Selfadjoint operators on complex Hilbert spaces. The generalized Schwarz’s inequality for positive Selfadjoint operators as well as some results for the spectrum of this class of operators are presented. The author also introduces and explores the fundamental results for polynomials in a linear operator, continuous functions of selfadjoint operators that will play a central role throughout the book. The following chapter is devoted to the Ostrowski’s type inequalities, which provide sharp error estimates in approximating the value of a function by its integral mean and can be used to obtain a priory error bounds for different quadrature rules in approximating the Riemann integral by different Riemann sums. The author also presents recent results extending Ostrowski inequality in various directions for continuous functions of selfadjoint operators in complex Hilbert spaces. The final chapter illustrates recent results obtained in extending trapezoidal type inequality in various directions for continuous functions of selfadjoint operators in complex Hilbert spaces. Applications for mid-point inequalities and some elementary functions of operators as also provided. This book is intended for use by researchers in various fields of Linear Operator Theory and Mathematical Inequalities. As well as postgraduate students and scientists applying inequalities in their specific areas.