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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: http://dx.doi.org/10.1090/memo/0859
MathSciNet review: 2229732
MSC (2000): Primary 46E15; Secondary 30H05, 32A37, 46E22, 46E35

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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