A Simple Proof of the Sharp Weighted Estimate for Calderon-zygmund Operators on Homogeneous Spaces
نویسندگان
چکیده
Here we show that Lerner’s method of local mean oscillation gives a simple proof of theA2 conjecture for spaces of homogeneous type: that is, the linear dependence on the A2 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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