Analysis by discs
Complex Variables
2007-05-23 v1 Functional Analysis
Abstract
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.
Cite
@article{arxiv.math/0405242,
title = {Analysis by discs},
author = {E. Amar},
journal= {arXiv preprint arXiv:math/0405242},
year = {2007}
}
Comments
11 pages