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Integral Operators In Non Standard Function Spaces

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Integral Operators In Non Standard Function Spaces

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Author : Vakhtang Kokilashvili
language : en
Publisher: Birkhäuser
Release Date : 2016-05-11

Integral Operators In Non Standard Function Spaces written by Vakhtang Kokilashvili and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-11 with Mathematics categories.

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.

Integral Operators In Non Standard Function Spaces

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Author : Vakhtang Kokilashvili
language : en
Publisher: Birkhäuser
Release Date : 2016-05-24

This two-volume set, 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. It is intended for a broad audience, ranging from researchers in the area to experts in applied mathematics and prospective students.

Integral Operators In Non Standard Function Spaces

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Author : Vakhtang Kokilashvili
language : en
Publisher: Springer Nature
Release Date : 2024-10-18

Integral Operators In Non Standard Function Spaces written by Vakhtang Kokilashvili and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-18 with Mathematics categories.

The present monograph serves as a natural extension of the prior 2-volume monograph with the same title and by the same authors, which encompassed findings up until 2014. This four-volume project encapsulates the authors’ decade-long research in the trending topic of nonstandard function spaces and operator theory. One of the main novelties of the present book is to develop the extrapolation theory, generally speaking, in grand Banach function spaces, and to apply it for obtaining the boundedness of fundamental operators of harmonic analysis, in particular, function spaces such as grand weighted Lebesgue and Lorentz spaces, grand variable exponent Lebesgue/Morrey spaces, mixed normed function spaces, etc. Embeddings in grand variable exponent Hajłasz-Sobolev spaces are also studied. Some applications to the approximation theory and boundary value problems of analytic functions are presented as well. The book is aimed at an audience ranging from researchers in operator theory and harmonic analysis to experts in applied mathematics and post graduate students. In particular, we hope that this book will serve as a source of inspiration for researchers in abstract harmonic analysis, function spaces, PDEs and boundary value problems.

Integral Operators In Non Standard Function Spaces

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Author : Vakhtang Kokilashvili
language : en
Publisher: Birkhäuser
Release Date : 2016-05-12

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.

Integral Operators In Non Standard Function Spaces

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Author : Vakhtang Kokilashvili
language : en
Publisher: Birkhäuser
Release Date : 2016-10-07

Integral Operators In Non Standard Function Spaces H Lder Spaces Of Variable Order 11 Variable Exponent H Lder Spaces

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Author : Vakhtang Mikhaĭlovich Kokilashvili
language : en
Publisher:
Release Date : 2016

Integral Operators In Non Standard Function Spaces H Lder Spaces Of Variable Order 11 Variable Exponent H Lder Spaces written by Vakhtang Mikhaĭlovich Kokilashvili and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Algebraic spaces categories.

"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."--Provided by publisher.

An Introductory Course In Lebesgue Spaces

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Author : Rene Erlin Castillo
language : en
Publisher: Springer
Release Date : 2016-06-23

An Introductory Course In Lebesgue Spaces written by Rene Erlin Castillo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-23 with Mathematics categories.

This book is devoted exclusively to Lebesgue spaces and their direct derived spaces. Unique in its sole dedication, this book explores Lebesgue spaces, distribution functions and nonincreasing rearrangement. Moreover, it also deals with weak, Lorentz and the more recent variable exponent and grand Lebesgue spaces with considerable detail to the proofs. The book also touches on basic harmonic analysis in the aforementioned spaces. An appendix is given at the end of the book giving it a self-contained character. This work is ideal for teachers, graduate students and researchers.

Integral Operators In Non Standard Function Spaces Variable Exponent Morrey Campanato And Herz Spaces 12 Morrey Type Spaces Constant Exponents 13 Morrey Campanato And Herz Spaces With Variable Exponents 14 Singular Integrals And Potentials In Grand Lebesgue Spaces 15 Grand Lebesgue Spaces On Sets Of Infinite Measure 16 Fractional And Singular Integrals In Grand Morrey Spaces 17 Multiple Variable Operators On The Cone Of Decreasing Functions

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Author : Vakhtang Mikhaĭlovich Kokilashvili
language : en
Publisher:
Release Date : 2016

Integral Operators In Non Standard Function Spaces Variable Exponent Morrey Campanato And Herz Spaces 12 Morrey Type Spaces Constant Exponents 13 Morrey Campanato And Herz Spaces With Variable Exponents 14 Singular Integrals And Potentials In Grand Lebesgue Spaces 15 Grand Lebesgue Spaces On Sets Of Infinite Measure 16 Fractional And Singular Integrals In Grand Morrey Spaces 17 Multiple Variable Operators On The Cone Of Decreasing Functions written by Vakhtang Mikhaĭlovich Kokilashvili and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Algebraic spaces categories.

Orlicz Spaces And Generalized Orlicz Spaces

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Author : Petteri Harjulehto
language : en
Publisher: Springer
Release Date : 2019-05-07

Orlicz Spaces And Generalized Orlicz Spaces written by Petteri Harjulehto and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-07 with Mathematics categories.

This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak–Orlicz spaces) with minimal assumptions on the generating Φ-function. It introduces and develops a technique centered on the use of equivalent Φ-functions. Results from classical functional analysis are presented in detail and new material is included on harmonic analysis. Extrapolation is used to prove, for example, the boundedness of Calderón–Zygmund operators. Finally, central results are provided for Sobolev spaces, including Poincaré and Sobolev–Poincaré inequalities in norm and modular forms. Primarily aimed at researchers and PhD students interested in Orlicz spaces or generalized Orlicz spaces, this book can be used as a basis for advanced graduate courses in analysis.

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 PDEs 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 PDEs or Geometry Replete with exercises and examples to aid the reader’s understanding

Integral Operators In Non Standard Function Spaces

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