AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Carleson measures and interpolating sequences for Besov spaces on complex balls
About this Title
N. Arcozzi, R. Rochberg and E. Sawyer
Publication: Memoirs of the American Mathematical Society
Publication Year:
2006; Volume 182, Number 859
ISBNs: 978-0-8218-3917-1 (print); 978-1-4704-0463-5 (online)
DOI: https://doi.org/10.1090/memo/0859
MathSciNet review: 2229732
MSC: Primary 46E15; Secondary 30H05, 32A37, 46E22, 46E35
Table of Contents
Chapters
- 1. Introduction
- 2. A tree structure for the unit ball $\mathbb {B}_n$ in $\mathbb {C}^n$
- 3. Carleson measures
- 4. Pointwise multipliers
- 5. Interpolating sequences
- 6. An almost invariant holomorphic derivative
- 7. Besov spaces on trees
- 8. Holomorphic Besov spaces on Bergman trees
- 9. Completing the multiplier interpolation loop
- 10. Appendix