Two‐weight Tb theorems for well‐localized operators

Kelly Bickel, Taneli Korhonen and Brett D. Wick

Mathematische Nachrichten, 2021, vol. 294, issue 7, 1277-1294

Abstract: This paper first defines operators that are “well‐localized” with respect to a pair of accretive functions and establishes a global two‐weight Tb 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 Tb theorem for them. The proofs combine recent Tb proof techniques with arguments used to prove earlier T1 theorems for well‐localized operators.

Date: 2021
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https://doi.org/10.1002/mana.201900194

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