Function spaces Volume 1 / Luboš Pick ... [et al.].

Format:

Book

Author/Creator:

Pick, Luboš.

Fučík, Svatopluk, author.

John, Oldřich, author.

Kufner, Alois, author.

Series:

De Gruyter Series in Nonlinear Analysis and Applications

De Gruyter series in nonlinear analysis and applications, 0941-813X ; 14

Language:

English

Subjects (All):

Ideal spaces.

Sobolev spaces.

Function spaces.

Physical Description:

1 online resource (495 p.)

Edition:

2nd rev. and extended ed.

Place of Publication:

Berlin : De Gruyter, 2013.

Language Note:

English

Summary:

This is the first part of the second revised and extended edition of the well established book "Function Spaces" by Alois Kufner, Oldřich John, and Svatopluk Fučík. Like the first edition this monograph is an introduction to function spaces defined in terms of differentiability and integrability classes. It provides a catalogue of various spaces and benefits as a handbook for those who use function spaces in their research or lecture courses. This first volume is devoted to the study of function spaces, based on intrinsic properties of a function such as its size, continuity, smoothness, various forms of a control over the mean oscillation, and so on. The second volume will be dedicated to the study of function spaces of Sobolev type, in which the key notion is the weak derivative of a function of several variables.

Contents:

Front matter

Preface

Contents

Chapter 1. Preliminaries

Chapter 2. Spaces of smooth functions

Chapter 3. Lebesgue spaces

Chapter 4. Orlicz spaces

Chapter 5. Morrey and Campanato spaces

Chapter 6. Banach function spaces

Chapter 7. Rearrangement-invariant spaces

Chapter 8. Lorentz spaces

Chapter 9. Generalized Lorentz-Zygmund spaces

Chapter 10. Classical Lorentz spaces

Chapter 11. Variable-exponent Lebesgue spaces

Bibliography

Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9783110250428

311025042X

OCLC:

829462188