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Orlicz Spaces And Modular Spaces


Orlicz Spaces And Modular Spaces
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Orlicz Spaces And Modular Spaces


Orlicz Spaces And Modular Spaces
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Author : J. Musielak
language : en
Publisher: Lecture Notes in Mathematics
Release Date : 1983-11

Orlicz Spaces And Modular Spaces written by J. Musielak and has been published by Lecture Notes in Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-11 with Mathematics categories.




Orlicz Spaces And Modular Spaces


Orlicz Spaces And Modular Spaces
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Author : J. Musielak
language : en
Publisher:
Release Date : 2014-09-01

Orlicz Spaces And Modular Spaces written by J. Musielak and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.




Orlicz Spaces And Modular Spaces


Orlicz Spaces And Modular Spaces
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Author :
language : en
Publisher:
Release Date : 1983

Orlicz Spaces And Modular Spaces written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.




Orlicz Spaces And Generalized Orlicz Spaces


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.



Metric Modular Spaces


Metric Modular Spaces
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Author : Vyacheslav Chistyakov
language : en
Publisher: Springer
Release Date : 2015-12-14

Metric Modular Spaces written by Vyacheslav Chistyakov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-14 with Mathematics categories.


Aimed toward researchers and graduate students familiar with elements of functional analysis, linear algebra, and general topology; this book contains a general study of modulars, modular spaces, and metric modular spaces. Modulars may be thought of as generalized velocity fields and serve two important purposes: generate metric spaces in a unified manner and provide a weaker convergence, the modular convergence, whose topology is non-metrizable in general. Metric modular spaces are extensions of metric spaces, metric linear spaces, and classical modular linear spaces. The topics covered include the classification of modulars, metrizability of modular spaces, modular transforms and duality between modular spaces, metric and modular topologies. Applications illustrated in this book include: the description of superposition operators acting in modular spaces, the existence of regular selections of set-valued mappings, new interpretations of spaces of Lipschitzian and absolutely continuous mappings, the existence of solutions to ordinary differential equations in Banach spaces with rapidly varying right-hand sides.



Function Spaces


Function Spaces
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Author : Henryk Hudzik
language : en
Publisher: CRC Press
Release Date : 2000-07-18

Function Spaces written by Henryk Hudzik and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-18 with Mathematics categories.


This volume compiles research results from the fifth Function Spaces International Conference, held in Poznan, Poland. It presents key advances, modern applications and analyses of function spaces and contains two special sections recognizing the contributions and influence of Wladyslaw Orlicz and Genadil Lozanowskii.



Function Spaces And Applications


Function Spaces And Applications
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Author : David Eric Edmunds
language : en
Publisher: CRC Press
Release Date : 2000

Function Spaces And Applications written by David Eric Edmunds and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.


Developed from the proceedings an international conference held in 1997, Function Spaces and Applications presents the work of leading mathematicians in the vital and rapidly growing field of functional analysis.



Summable Spaces And Their Duals Matrix Transformations And Geometric Properties


Summable Spaces And Their Duals Matrix Transformations And Geometric Properties
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Author : Feyzi Başar
language : en
Publisher: CRC Press
Release Date : 2020-02-25

Summable Spaces And Their Duals Matrix Transformations And Geometric Properties written by Feyzi Başar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-25 with Mathematics categories.


The aim of Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties is to discuss primarily about different kinds of summable spaces, compute their duals and then characterize several matrix classes transforming one summable space into other. The book also discusses several geometric properties of summable spaces, as well as dealing with the construction of summable spaces using Orlicz functions, and explores several structural properties of such spaces. Each chapter contains a conclusion section highlighting the importance of results, and points the reader in the direction of possible new ideas for further study. Features Suitable for graduate schools, graduate students, researchers and faculty, and could be used as a key text for special Analysis seminars Investigates different types of summable spaces and computes their duals Characterizes several matrix classes transforming one summable space into other Discusses several geometric properties of summable spaces Examines several possible generalizations of Orlicz sequence spaces



Interpolation Of Operators


Interpolation Of Operators
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Author : Colin Bennett
language : en
Publisher: Academic Press
Release Date : 1988-04-01

Interpolation Of Operators written by Colin Bennett and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-04-01 with Mathematics categories.


This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. At the same time, however, it clearly shows how the theory should be generalized in order to accommodate the more recent and powerful applications. Lebesgue, Lorentz, Zygmund, and Orlicz spaces receive detailed treatment, as do the classical interpolation theorems and their applications in harmonic analysis.The text includes a wide range of techniques and applications, and will serve as an amenable introduction and useful reference to the modern theory of interpolation of operators.



Variable Lebesgue Spaces


Variable Lebesgue Spaces
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Author : David V. Cruz-Uribe
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-02-12

Variable Lebesgue Spaces written by David V. Cruz-Uribe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-12 with Mathematics categories.


This book provides an accessible introduction to the theory of variable Lebesgue spaces. These spaces generalize the classical Lebesgue spaces by replacing the constant exponent p with a variable exponent p(x). They were introduced in the early 1930s but have become the focus of renewed interest since the early 1990s because of their connection with the calculus of variations and partial differential equations with nonstandard growth conditions, and for their applications to problems in physics and image processing. The book begins with the development of the basic function space properties. It avoids a more abstract, functional analysis approach, instead emphasizing an hands-on approach that makes clear the similarities and differences between the variable and classical Lebesgue spaces. The subsequent chapters are devoted to harmonic analysis on variable Lebesgue spaces. The theory of the Hardy-Littlewood maximal operator is completely developed, and the connections between variable Lebesgue spaces and the weighted norm inequalities are introduced. The other important operators in harmonic analysis - singular integrals, Riesz potentials, and approximate identities - are treated using a powerful generalization of the Rubio de Francia theory of extrapolation from the theory of weighted norm inequalities. The final chapter applies the results from previous chapters to prove basic results about variable Sobolev spaces.​