## Faculty Journal Articles

#### Title

Two-weight Tb Theorems for Well-localized Operators

4-2021

#### Description

This paper first defines operators that are “well-localized” with respect to a pair of accretive functions and establishes a global two-weight Tb" role="presentation" style="box-sizing: border-box; display: inline-table; line-height: normal; font-size: 16px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px 2px 0px 0px; margin: 0px; color: rgb(28, 29, 30); font-family: "Open Sans", icomoon, sans-serif; position: relative;">𝑇𝑏Tb 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" role="presentation" style="box-sizing: border-box; display: inline-table; line-height: normal; font-size: 16px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px 2px 0px 0px; margin: 0px; color: rgb(28, 29, 30); font-family: "Open Sans", icomoon, sans-serif; position: relative;">𝑇𝑏Tb theorem for them. The proofs combine recent Tb" role="presentation" style="box-sizing: border-box; display: inline-table; line-height: normal; font-size: 16px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px 2px 0px 0px; margin: 0px; color: rgb(28, 29, 30); font-family: "Open Sans", icomoon, sans-serif; position: relative;">𝑇𝑏Tb proof techniques with arguments used to prove earlier T1 theorems for well-localized operators.

#### Journal

Mathematische Nachrichten

294

7

1277

1294

Mathematics

#### DOI

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

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