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arXiv · 1206.2489

A simple proof of the sharp weighted estimate for Calderon-Zygmund operators on homogeneous spaces

Theresa C. Anderson·Armen Vagharshakyan
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Abstract

Here we show that Lerner's method of local mean oscillation gives a simple proof of the $A_2$ conjecture for spaces of homogeneous type: that is, the linear dependence on the $A_2$ norm for weighted $L^2$ Calderon-Zygmund operator estimates. In the Euclidean case, the result is due to Hytönen, and for geometrically doubling spaces, Nazarov, Rezinikov, and Volberg obtained the linear bound.

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Theresa C. Anderson, Armen Vagharshakyan. 2012-06-12. A simple proof of the sharp weighted estimate for Calderon-Zygmund operators on homogeneous spaces. https://arxiv.org/abs/1206.2489

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