This paper first defines operators that are “well-localized” with respect to a pair of accretive functions and establishes a global two-weight $T b$ theorem for such operators. Then it defines operators that are “well-localized” with respect to a pair of accretive systems and establishes a local two-weight $T b$ theorem for them. The proofs combine recent $T b$ proof techniques with arguments used to prove earlier T1 theorems for well-localized operators.

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Volume294, Issue7

July 2021

Pages 1277-1294

Two-weight $T b$ theorems for well-localized operators

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Two-weight T b theorems for well-localized operators

Abstract

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Two-weight $T b$ theorems for well-localized operators