Weighted Inequalities Of Hardy Type
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Weighted Inequalities Of Hardy Type
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Author : Alois Kufner
language : en
Publisher: World Scientific Publishing Company
Release Date : 2017-06-16
Weighted Inequalities Of Hardy Type written by Alois Kufner and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-16 with categories.
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. Request Inspection Copy
Weighted Inequalities Of Hardy Type
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Author : Alois Kufner
language : en
Publisher:
Release Date : 2003
Weighted Inequalities Of Hardy Type written by Alois Kufner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
Weighted Inequalities Of Hardy Type Second Edition
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Author : Lars-Erik Persson
language : en
Publisher:
Release Date : 2017
Weighted Inequalities Of Hardy Type Second Edition written by Lars-Erik Persson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Electronic books categories.
Weighted Inequalities Involving Quasiconcave Operators
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Author : Opic Bohumir
language : en
Publisher: World Scientific
Release Date : 1999-10-20
Weighted Inequalities Involving Quasiconcave Operators written by Opic Bohumir and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-20 with Mathematics categories.
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.
Hardy Type Inequalities
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Author : Bohumír Opic
language : en
Publisher: Longman Scientific and Technical
Release Date : 1990
Hardy Type Inequalities written by Bohumír Opic and has been published by Longman Scientific and Technical this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Weighted Inequalities Of Hardy Type
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FREE 30 Days
Author : Alois Kufner
language : en
Publisher: World Scientific
Release Date : 2003
Weighted Inequalities Of Hardy Type written by Alois Kufner and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
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
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Author : Michael Ruzhansky
language : en
Publisher: Springer
Release Date : 2019-07-02
Hardy Inequalities On Homogeneous Groups written by Michael Ruzhansky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-02 with Mathematics categories.
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 Type Inequalities On Time Scales
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Author : Ravi P. Agarwal
language : en
Publisher: Springer
Release Date : 2016-10-20
Hardy Type Inequalities On Time Scales written by Ravi P. Agarwal and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-20 with Mathematics categories.
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.
The Hardy Inequality
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Author : Alois Kufner
language : en
Publisher:
Release Date : 2007
The Hardy Inequality written by Alois Kufner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
Morrey Spaces
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Author : Yoshihiro Sawano
language : en
Publisher: CRC Press
Release Date : 2020-09-16
Morrey Spaces written by Yoshihiro Sawano and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-16 with Mathematics categories.
Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics. Across two volumes, the authors of Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with the emphasis in Volume II focused mainly generalizations and interpolation of Morrey spaces. Features Provides a ‘from-scratch’ overview of the topic readable by anyone with an understanding of integration theory Suitable for graduate students, masters course students, and researchers in PDE's or Geometry Replete with exercises and examples to aid the reader’s understanding