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

2011/06/23 by Tuomas P. Hyt"onen, Michael T. Lacey, Hyt"onen, Tuomas P. +1
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA

paper · pdf · doi:10.48550/arxiv.1106.4797

10 pages

arxiv created 2011/06/23 · arxiv updated 2011/06/24

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<∞ and all weights w∈ A_p: ‖T_# ‖_L^p(w) << [w]_Ap^1/p [w]_Ainfty^1/p'+[w^1-p']_Ainfty^1/p.

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