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Lebesgue and Sobolev Spaces with Variable Exponents
The field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already 20 years old. Thus this self-contained monograph collecting all the basic properties of variable exponent Lebesgue and Sobolev spaces is ti...
| Cote: | Libro Electrónico |
|---|---|
| Auteurs principaux: | , , , |
| Collectivité auteur: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2011.
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| Édition: | 1st ed. 2011. |
| Collection: | Lecture Notes in Mathematics,
2017 |
| Sujets: | |
| Accès en ligne: | Texto Completo |
Table des matières:
- 1 Introduction
- 2 A framework for function spaces
- 3 Variable exponent Lebesgue spaces
- 4 The maximal operator
- 5 The generalized Muckenhoupt condition*
- 6 Classical operators
- 7 Transfer techniques
- 8 Introduction to Sobolev spaces
- 9. Density of regular functions
- 10. Capacities
- 11 Fine properties of Sobolev functions
- 12 Other spaces of differentiable functions
- 13 Dirichlet energy integral and Laplace equation
- 14 PDEs and fluid dynamics.