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

Published 23 Jun 2011 in math.CA | (1106.4797v1)

Abstract: Let T be an arbitrary L² 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}}.

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