Extremal problems in interpolation theory, Whitney-Besicovitch coverings, and singular integrals
In this book we suggest a unified method of constructing near-minimizers for certain important functionals arising in approximation, harmonic analysis and ill-posed problems and most widely used in interpolation theory. The constructions are based on far-reaching refinements of the classical Calderó...
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Udgivelse: | 1st ed. 2013. |
| Serier: | Monografie Matematyczne
74 |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals, Texte imprimé, 9783034804707 • Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals, Texte imprimé, 9783034807524 • Extremal problems in interpolation theory, Whitney-Besicovitch coverings, and singular integrals, Sergey Kislyakov, Natan Kruglyak, Basel, Birkhäuser, 2013, 1 vol. (X-316 p.), Monografie matematyczne, 978-3-0348-0468-4 |
Indholdsfortegnelse:
- Preface Introduction Definitions, notation, and some standard facts Part 1. Background Chapter 1. Classical Calderón Zygmund decomposition and real interpolation Chapter 2. Singular integrals Chapter 3. Classical covering theorems Chapter 4. Spaces of smooth functions and operators on them Chapter 5. Some topics in interpolation Chapter 6. Regularization for Banach spaces Chapter 7. Stability for analytic Hardy spaces Part 2. Advanced theory Chapter 8. Controlled coverings Chapter 9. Construction of near-minimizers Chapter 10. Stability of near-minimizers Chapter 11. The omitted case of a limit exponent Chapter A. Appendix. Near-minimizers for Brudnyi and Triebel Lizorkin spaces Notes and remarks Bibliography Index