Bergman-type Singular Integral Operators on Metric Spaces
Classical Analysis and ODEs
2010-01-05 v1 Complex Variables
Abstract
In this paper we study ``Bergman-type'' singular integral operators on Ahlfors regular metric spaces. The main result of the paper demonstrates that if a singular integral operator on a Ahlfors regular metric space satisfies an additional estimate, then knowing the ``T(1)'' conditions for the operator imply that the operator is bounded on . The method of proof of the main result is an extension and another application of the work originated by Nazarov, Treil and the first author on non-homogeneous harmonic analysis.
Cite
@article{arxiv.1001.0038,
title = {Bergman-type Singular Integral Operators on Metric Spaces},
author = {Alexander Volberg and Brett D. Wick},
journal= {arXiv preprint arXiv:1001.0038},
year = {2010}
}
Comments
v1: 21 pages