A new approach to non-homogeneous local Tb theorems
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Martikainen , H , Mourgoglou , M & Vuorinen , E 2021 , ' A new approach to non-homogeneous local Tb theorems ' , Journal d'Analyse Mathematique , vol. 143 , no. 1 , pp. 95-121 . https://doi.org/10.1007/s11854-021-0147-6
| Title: | A new approach to non-homogeneous local Tb theorems |
| Author: | Martikainen, Henri; Mourgoglou, Mihalis; Vuorinen, Emil |
| Contributor organization: | Department of Mathematics and Statistics |
| Date: | 2021-06 |
| Language: | eng |
| Number of pages: | 27 |
| Belongs to series: | Journal d'Analyse Mathematique |
| ISSN: | 0021-7670 |
| DOI: | https://doi.org/10.1007/s11854-021-0147-6 |
| URI: | http://hdl.handle.net/10138/334387 |
| Abstract: | We develop a new general method to prove various non-doubling local Tb theorems. The method combines the non-homogeneous good lambda method of Tolsa, the big pieces Tb theorem of Nazarov-Treil-Volberg and a new change of measure argument based on stopping time techniques. We also improve known results and discuss some further applications. |
| Subject: |
111 Mathematics
TESTING CONDITIONS SQUARE FUNCTIONS BOUNDEDNESS |
| Peer reviewed: | Yes |
| Usage restriction: | openAccess |
| Self-archived version: | acceptedVersion |
| Funder: | Academy of Finland |
| Grant number: | 266262 |
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