Two-weight Tb Theorems for Well-localized Operators

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; \u3eTb 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; \u3eTb 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; \u3eTb proof techniques with arguments used to prove earlier T1 theorems for well-localized operators