Analysis On Function Spaces Of Musielak Orlicz Type

Author : Osvaldo Mendez,Jan Lang
Publisher : CRC Press
Page : 262 pages
File Size : 50,6 Mb
Release : 2019-01-21
Category : Mathematics
ISBN : 9780429524103

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Analysis on Function Spaces of Musielak-Orlicz Type by Osvaldo Mendez,Jan Lang Pdf

Analysis on Function Spaces of Musielak-Orlicz Type provides a state-of-the-art survey on the theory of function spaces of Musielak-Orlicz type. The book also offers readers a step-by-step introduction to the theory of Musielak–Orlicz spaces, and introduces associated function spaces, extending up to the current research on the topic Musielak-Orlicz spaces came under renewed interest when applications to electrorheological hydrodynamics forced the particular case of the variable exponent Lebesgue spaces on to center stage. Since then, research efforts have typically been oriented towards carrying over the results of classical analysis into the framework of variable exponent function spaces. In recent years it has been suggested that many of the fundamental results in the realm of variable exponent Lebesgue spaces depend only on the intrinsic structure of the Musielak-Orlicz function, thus opening the door for a unified theory which encompasses that of Lebesgue function spaces with variable exponent. Features Gives a self-contained, concise account of the basic theory, in such a way that even early-stage graduate students will find it useful Contains numerous applications Facilitates the unified treatment of seemingly different theoretical and applied problems Includes a number of open problems in the area

Author : Dachun Yang,Yiyu Liang,Luong Dang Ky
Publisher : Springer
Page : 476 pages
File Size : 45,9 Mb
Release : 2017-05-09
Category : Mathematics
ISBN : 9783319543611

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Real-Variable Theory of Musielak-Orlicz Hardy Spaces by Dachun Yang,Yiyu Liang,Luong Dang Ky Pdf

The main purpose of this book is to give a detailed and complete survey of recent progress related to the real-variable theory of Musielak–Orlicz Hardy-type function spaces, and to lay the foundations for further applications. The real-variable theory of function spaces has always been at the core of harmonic analysis. Recently, motivated by certain questions in analysis, some more general Musielak–Orlicz Hardy-type function spaces were introduced. These spaces are defined via growth functions which may vary in both the spatial variable and the growth variable. By selecting special growth functions, the resulting spaces may have subtler and finer structures, which are necessary in order to solve various endpoint or sharp problems. This book is written for graduate students and researchers interested in function spaces and, in particular, Hardy-type spaces.

Author : Osvaldo Mendez,Jan Lang
Publisher : CRC Press
Page : 175 pages
File Size : 45,5 Mb
Release : 2019-01-21
Category : Mathematics
ISBN : 9780429537578

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Analysis on Function Spaces of Musielak-Orlicz Type by Osvaldo Mendez,Jan Lang Pdf

Analysis on Function Spaces of Musielak-Orlicz Type provides a state-of-the-art survey on the theory of function spaces of Musielak-Orlicz type. The book also offers readers a step-by-step introduction to the theory of Musielak–Orlicz spaces, and introduces associated function spaces, extending up to the current research on the topic Musielak-Orlicz spaces came under renewed interest when applications to electrorheological hydrodynamics forced the particular case of the variable exponent Lebesgue spaces on to center stage. Since then, research efforts have typically been oriented towards carrying over the results of classical analysis into the framework of variable exponent function spaces. In recent years it has been suggested that many of the fundamental results in the realm of variable exponent Lebesgue spaces depend only on the intrinsic structure of the Musielak-Orlicz function, thus opening the door for a unified theory which encompasses that of Lebesgue function spaces with variable exponent. Features Gives a self-contained, concise account of the basic theory, in such a way that even early-stage graduate students will find it useful Contains numerous applications Facilitates the unified treatment of seemingly different theoretical and applied problems Includes a number of open problems in the area

Author : Petteri Harjulehto,Peter Hästö
Publisher : Springer
Page : 169 pages
File Size : 53,5 Mb
Release : 2019-05-07
Category : Mathematics
ISBN : 9783030151003

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Orlicz Spaces and Generalized Orlicz Spaces by Petteri Harjulehto,Peter Hästö Pdf

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.

Author : J. Musielak
Publisher : Springer
Page : 227 pages
File Size : 50,8 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540386926

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Orlicz Spaces and Modular Spaces by J. Musielak Pdf

Author : Iwona Chlebicka,Piotr Gwiazda,Agnieszka Świerczewska-Gwiazda,Aneta Wróblewska-Kamińska
Publisher : Springer Nature
Page : 389 pages
File Size : 46,5 Mb
Release : 2021-11-01
Category : Mathematics
ISBN : 9783030888565

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Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces by Iwona Chlebicka,Piotr Gwiazda,Agnieszka Świerczewska-Gwiazda,Aneta Wróblewska-Kamińska Pdf

This book provides a detailed study of nonlinear partial differential equations satisfying certain nonstandard growth conditions which simultaneously extend polynomial, inhomogeneous and fully anisotropic growth. The common property of the many different kinds of equations considered is that the growth conditions of the highest order operators lead to a formulation of the equations in Musielak–Orlicz spaces. This high level of generality, understood as full anisotropy and inhomogeneity, requires new proof concepts and a generalization of the formalism, calling for an extended functional analytic framework. This theory is established in the first part of the book, which serves as an introduction to the subject, but is also an important ingredient of the whole story. The second part uses these theoretical tools for various types of PDEs, including abstract and parabolic equations but also PDEs arising from fluid and solid mechanics. For connoisseurs, there is a short chapter on homogenization of elliptic PDEs. The book will be of interest to researchers working in PDEs and in functional analysis.

Author : R Grzaslewicz,C Ryll-Nardzewski,H Hudzik,J Musielak
Publisher : World Scientific
Page : 284 pages
File Size : 53,9 Mb
Release : 2003-04-03
Category : Science
ISBN : 9789814486729

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Function Spaces by R Grzaslewicz,C Ryll-Nardzewski,H Hudzik,J Musielak Pdf

The papers included in this volume deal with the following topics: convex analysis, operator theory, interpolation theory, theory of real functions, theory of analytic functions, bifurcation theory, Fourier analysis, functional analysis, measure theory, geometry of Banach spaces, history of mathematics. Contents: Biographical and Historical Articles:Tingfu Wang — His Life and Contribution to Mathematics (H Hudzik et al.)Roman Taberski, His Life and Work (J Musielak & P Pych-Taberska)Research Articles:Images of Operators in Rearrangement Invariant Spaces and Interpolation (S V Astashkin)Taylor Spaces — Approximation Space Theory Approach (Y Brudnyj)On Extension Property of Cantor-Type Sets (A Goncharov)On Absolutely Summing Operators from C(K) with Values in Banach Lattices (C Michels)A Characterization of Hilbert Spaces (B Randrianantoanina)The Positivity Property of Function Spaces (H Triebel)and other papers Readership: Theoretical physicists and mathematicians. Keywords:Convex Analysis;Operator Theory;Fourier Analysis;Bifurcation Theory

Author : Mohamed A. Khamsi,Wojciech M. Kozlowski
Publisher : Birkhäuser
Page : 245 pages
File Size : 52,5 Mb
Release : 2015-03-24
Category : Mathematics
ISBN : 9783319140513

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Fixed Point Theory in Modular Function Spaces by Mohamed A. Khamsi,Wojciech M. Kozlowski Pdf

This monograph provides a concise introduction to the main results and methods of the fixed point theory in modular function spaces. Modular function spaces are natural generalizations of both function and sequence variants of many important spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, Calderon-Lozanovskii spaces, and others. In most cases, particularly in applications to integral operators, approximation and fixed point results, modular type conditions are much more natural and can be more easily verified than their metric or norm counterparts. There are also important results that can be proved only using the apparatus of modular function spaces. The material is presented in a systematic and rigorous manner that allows readers to grasp the key ideas and to gain a working knowledge of the theory. Despite the fact that the work is largely self-contained, extensive bibliographic references are included, and open problems and further development directions are suggested when applicable. The monograph is targeted mainly at the mathematical research community but it is also accessible to graduate students interested in functional analysis and its applications. It could also serve as a text for an advanced course in fixed point theory of mappings acting in modular function spaces.​

Author : Mohamed A. Khamsi
Publisher : Cambridge Scholars Publishing
Page : 401 pages
File Size : 45,8 Mb
Release : 2020-01-24
Category : Mathematics
ISBN : 9781527546127

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New Trends in Analysis and Geometry by Mohamed A. Khamsi Pdf

This unique mathematical volume brings together geometers, analysts, differential equations specialists and graph-theorists to provide a glimpse on recent mathematical trends whose commonalities have hitherto remained, for the most part, unnoticed. The applied mathematician will be pleasantly surprised with the interpretation of a voting system in terms of the fixed points of a mapping given in the book, as much as the classical analyst will be enthusiastic to find detailed discussions on the generalization of the notion of metric space, in which the metric takes values on an abstract monoid. Classical themes on fixed point theory are adapted to the diverse setting of graph theory, thus uncovering a set of tools whose power and versatility will be appreciated by mathematicians working on either area. The volume also includes recent results on variable exponent spaces which reveal much-needed connections with partial differential equations, while the incipient field of variational inequalities on manifolds, also explored here, will be of interest to researchers from a variety of fields.

Author : Ryszard Grz??lewicz
Publisher : World Scientific
Page : 285 pages
File Size : 49,8 Mb
Release : 2003
Category : Mathematics
ISBN : 9789812382672

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Function Spaces by Ryszard Grz??lewicz Pdf

The papers included in this volume deal with the following topics: convex analysis, operator theory, interpolation theory, theory of real functions, theory of analytic functions, bifurcation theory, Fourier analysis, functional analysis, measure theory, geometry of Banach spaces, history of mathematics.

Author : Henryk Hudzik,Leszek Skrzypcazk
Publisher : CRC Press
Page : 538 pages
File Size : 42,6 Mb
Release : 2000-07-18
Category : Mathematics
ISBN : 0824704193

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Function Spaces by Henryk Hudzik,Leszek Skrzypcazk Pdf

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.

Author : Heinrich G. W. Begehr,Francesco Nicolosi
Publisher : World Scientific
Page : 1497 pages
File Size : 42,7 Mb
Release : 2009
Category : Mathematics
ISBN : 9789812835628

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More Progresses in Analysis by Heinrich G. W. Begehr,Francesco Nicolosi Pdf

International ISAAC (International Society for Analysis, its Applications and Computation) Congresses have been held every second year since 1997. The proceedings report on a regular basis on the progresses of the field in recent years, where the most active areas in analysis, its applications and computation are covered. Plenary lectures also highlight recent results. This volume concentrates mainly on partial differential equations, but also includes function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, stochastic analysis, inverse problems, homogenization, continuum mechanics, mathematical biology and medicine. With over 350 participants attending the congress, the book comprises 140 papers from 211 authors. The volume also serves for transferring personal information about the ISAAC and its members. This volume includes citations for O Besov, V Burenkov and R P Gilbert on the occasion of their anniversaries.

Author : Anonim
Publisher : World Scientific
Page : 1497 pages
File Size : 50,6 Mb
Release : 2009-05-12
Category : Mathematics
ISBN : 9789812835635

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More Progresses in Analysis by Anonim Pdf

International ISAAC (International Society for Analysis, its Applications and Computation) Congresses have been held every second year since 1997. The proceedings report on a regular basis on the progresses of the field in recent years, where the most active areas in analysis, its applications and computation are covered. Plenary lectures also highlight recent results. This volume concentrates mainly on partial differential equations, but also includes function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, stochastic analysis, inverse problems, homogenization, continuum mechanics, mathematical biology and medicine. With over 350 participants attending the congress, the book comprises 140 papers from 211 authors. The volume also serves for transferring personal information about the ISAAC and its members. This volume includes citations for O. Besov, V. Burenkov and R.P. Gilbert on the occasion of their anniversaries.

Author : Mourad Ismail
Publisher : American Mathematical Soc.
Page : 354 pages
File Size : 46,7 Mb
Release : 1995
Category : Computers
ISBN : 9780821803844

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Mathematical Analysis, Wavelets, and Signal Processing by Mourad Ismail Pdf

This book contains the proceedings of an international conference held in Cairo, Egypt (January 1994). Mathematics and engineering discoveries, such as wavelets, multiresolution analysis, and subband coding schemes, caused rapid advancements in signal processing, necessitating an interdisciplinary approach. Contributors to this conference demonstrated that some traditional areas of mathematical analysis - sampling theory, approximation theory, and orthogonal polynomials - have proven extremely useful in solving various signal processing problems.

Author : Jacek Banasiak,Wilson Lamb,Philippe Laurencot
Publisher : CRC Press
Page : 338 pages
File Size : 48,8 Mb
Release : 2019-09-05
Category : Mathematics
ISBN : 9781000001310

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Analytic Methods for Coagulation-Fragmentation Models, Volume II by Jacek Banasiak,Wilson Lamb,Philippe Laurencot Pdf

Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a comprehensive exposition of the mathematical analysis of coagulation-fragmentation models. Initially, an in-depth survey of coagulation-fragmentation processes is presented, together with an account of relevant early results obtained on the associated model equations. These provide motivation for the subsequent detailed treatment of more up-to-date investigations which have led to significant theoretical developments on topics such as solvability and the long-term behaviour of solutions. To make the account as self-contained as possible, the mathematical tools that feature prominently in these modern treatments are introduced at appropriate places. The main theme of Volume I is the analysis of linear fragmentation models, with Volume II devoted to processes that involve the nonlinear contribution of coagulation. Features of Volume II: A primer on weak compactness in L 1 and dynamical systems A comprehensive theory of solvability of the coagulation-fragmentation equation by both the semigroup and weak compactness methods, including a thorough analysis of the gelation and shattering phenomena A detailed analysis of the long-term dynamics of the coagulation-fragmentation equations with a state-of-the-art discussion on self-similar solutions