The A_p-A_infty inequality for general Calderon--Zygmund operators

By Tuomas Hytönen, Michael T. Lacey. 2011

53 citations recorded by the source corpus.

Let T be an arbitrary L^2 bounded Calderon--Zygmund operator, and T_# its maximal truncated version. Then T_# satisfies the following bound for all 1<p<\infty and all weights w\in A_p: \|T_# \|_{L^p(w)} << [w]_{A_p}^{1/p} {[w]_{A_infty}^{1/p'}+[w^{1-p'}]_{A_infty}^{1/p}}.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/230e8d58b907a56c851df97f1f8a92ed56cd0b10