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...
Bewaard in:
| Hoofdauteurs: | , , , |
|---|---|
| Formaat: | Livre numérique |
| Taal: | Anglais |
| Gepubliceerd in: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Editie: | 1st ed. 2011. |
| Reeks: | Lecture Notes in Mathematics
2017 |
| Onderwerpen: | |
| Online toegang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Opmerking: |
L'impression du document génère 512 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Lebesgue and Sobolev spaces with variable exponents, Lars Diening, Petteri Harjulehto, Peter Hästö... [et al.], Heidelberg, Springer, 2011, 1 vol. (IX-509 p.), Lecture notes in mathematics, 978-3-642-18362-1 |
Inhoudsopgave:
- 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.