عنوان

Analysis on function spaces of Musielak-Orlicz type /

(Number (ISBN

0429524102

(Number (ISBN

0429537573

(Number (ISBN

0429552270

(Number (ISBN

1498762611

(Number (ISBN

9780429524103

(Number (ISBN

9780429537578

(Number (ISBN

9780429552274

(Number (ISBN

9781498762618

Erroneous ISBN

1498762603

Erroneous ISBN

9781498762601

Title Proper

Analysis on function spaces of Musielak-Orlicz type /

General Material Designation

[Book]

First Statement of Responsibility

Jan Lang, Osvaldo Méndez.

Place of Publication, Distribution, etc.

Boca Raton, Florida :

Name of Publisher, Distributor, etc.

CRC Press,

Date of Publication, Distribution, etc.

[2019]

Specific Material Designation and Extent of Item

1 online resource

Series Title

Chapman & Hall/CRC monographs and research notes in mathematics

Text of Note

Includes bibliographical references and indexes.

Text of Note

Cover; Half Title; Title Page; Copyright Page; Dedication; Table of Contents; Preface; 1: A path to Musielak-Orlicz spaces; 1.1 Introduction; 1.2 Banach function spaces; 1.2.1 The associate space; 1.2.2 Absolute continuity of the norm and continuity of the norm; 1.2.3 Convexity, uniform convexity and smoothness of a norm; 1.2.4 Duality mappings and extremal elements; 1.3 Modular spaces; 1.3.1 Modular convergence and norm convergence; 1.3.2 Conjugate modulars and duality; 1.3.3 Modular uniform convexity; 1.4 The lpn sequence spaces and their properties; 1.4.1 Duality

Text of Note

2.6 Uniform convexity of Musielak-Orlicz spaces2.7 Carathéodory functions and Nemytskii operators on Musielak-Orlicz spaces; 2.8 Further properties of variable exponent spaces; 2.8.1 Duality maps on spaces of variable integrability; 2.9 The Matuszewska-Orlicz index of a Musielak-Orlicz space; 2.10 Historical notes; 3: Sobolev spaces of Musielak-Orlicz type; 3.1 Sobolev spaces: definition and basic properties; 3.1.1 Examples; 3.2 Separability; 3.3 Duality of Sobolev spaces of Musielak-Orlicz type; 3.4 Embeddings, compactness, Poincaré-type inequalities; 4: Applications

0

8

Text of Note

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

Title

Analysis on function spaces of Musielak-Orlicz type.

International Standard Book Number

9781498762601

Function spaces.

Generalized spaces.

Function spaces.

Generalized spaces.

MATHEMATICS-- Calculus.

MATHEMATICS-- Differential Equations.

MATHEMATICS-- Functional Analysis.

MATHEMATICS-- Mathematical Analysis.

MAT-- 005000

MAT-- 007000

MAT-- 034000

MAT-- 037000

PBK

Number

Edition

Class number

Book number

Lang, Jan

Mendez, Osvaldo, (Osvaldo David)

Date of Transaction

20200822112143.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y