A global Tb Theorem for compactness and boundedness
Classical Analysis and ODEs
2017-10-24 v1
Abstract
We prove a Tb Theorem that characterizes all Calderon-Zygmund operators that extend compactly on L^p(R^n), 1<p<\infty . The result, whose proof does not require the property of accretivity, can be used to prove compactness of the Double Layer Potential operator on a wide class of domains. The study also provides conditions for boundedness of singular integral operators by means of non-accretive testing functions.
Cite
@article{arxiv.1710.07869,
title = {A global Tb Theorem for compactness and boundedness},
author = {Paco Villarroya},
journal= {arXiv preprint arXiv:1710.07869},
year = {2017}
}