Variable Lebesgue spaces : foundations and harmonic analysis /
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...
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| Format: | Book |
| Language: | English |
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Heidelberg ; New York :
Birkhäuser/Springer,
©2013
Heidelberg ; New York : Birkhäuser/Springer, ©2013 |
| Series: | Applied and numerical harmonic analysis
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Table of Contents:
- Introduction
- Structure of variable Lebesgue spaces
- The Hardy-Littlewood maximal operator
- Beyond Log-Hölder continuity
- Extrapolation in the variable Lebesgue spaces
- Basic properties of variable Sobolev spaces
- Appendix
- Introduction
- Structure of variable Lebesgue spaces
- The Hardy-Littlewood maximal operator
- Beyond Log-Hölder continuity
- Extrapolation in the variable Lebesgue spaces
- Basic properties of variable Sobolev spaces
- Appendix