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...
Κύριοι συγγραφείς: | , |
---|---|
Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Basel :
Springer Basel : Imprint: Birkhäuser,
2013.
|
Σειρά: | Monografie Matematyczne ;
74 |
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.