Analysis by discs

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We prove that the composition of a function in the Hardy class H^p of the unit ball B in C^n with an analytic disc is in the Bergman class of the unit disc. Then we use it to show that the natural "analysis by discs" fails in the case of H^p(B) interpolating sequences for finite p.
11 pages

Keywords

Complex Variables, Functional Analysis, 32A35; 32A36; 47B35

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/71170

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405242
 http://arxiv.org/abs/math/0405242

Collections

arXiv