A Simple Proof of the Sharp Weighted Estimate for Calderon-Zygmund Operators on Homogeneous Spaces

作者:Anderson Theresa C; Vagharshakyan Armen*
来源:Journal of Geometric Analysis, 2014, 24(3): 1276-1297.
DOI:10.1007/s12220-012-9372-7

摘要

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 Hytonen, and for geometrically doubling spaces, Nazarov, Reznikov, and Volberg obtained the linear bound.

  • 出版日期2014-7