Variable Lebesgue Spaces Foundations and Harmonic Analysis /

• Main Authors: Cruz-Uribe, David V. (Author), Fiorenza, Alberto. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhũser, 2013.
• Series: Applied and Numerical Harmonic Analysis
• Subjects: Mathematics.; Harmonic analysis.; Functional analysis.; Global analysis.; Abstract Harmonic Analysis.; Functional Analysis.; Global Analysis and Analysis on Manifolds.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-0348-0548-3

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 sin...

Table of Contents:

• 1 Introduction
• 2 Structure of Variable Lebesgue Spaces
• 3 The Hardy-Littlewood Maximal Operator.- 4 Beyond Log-Hl̲der Continuity
• 5 Extrapolation in the Variable Lebesgue Spaces
• 6 Basic Properties of Variable Sobolev Spaces
• Appendix: Open Problems
• Bibliography
• Symbol Index
• Author Index
• Subject Index. .