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arXiv · 1710.07869

A global Tb Theorem for compactness and boundedness

Paco Villarroya
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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.

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Paco Villarroya. 2017-10-22. A global Tb Theorem for compactness and boundedness. https://arxiv.org/abs/1710.07869

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