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arXiv · 1401.2061

Calderón-Zygmund operators and commutators in spaces of homogeneous type: weighted inequalities

Theresa C. Anderson·Wendolín Damián
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Abstract

The recent proof of the sharp weighted bound for Calderón-Zygmund operators has led to much investigation in sharp mixed bounds for operators and commutators, that is, a sharp weighted bound that is a product of at least two different $A_p$ weight constants. The reason why these are sought after is that the product will be strictly smaller than the original one-constant bound. We prove a variety of these bounds in spaces of homogeneous type, using the new techniques of Lerner, for both operators and commutators.

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Theresa C. Anderson, Wendolín Damián. 2014-01-09. Calderón-Zygmund operators and commutators in spaces of homogeneous type: weighted inequalities. https://arxiv.org/abs/1401.2061

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