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arXiv · 1511.00528

A new approach to non-homogeneous local $Tb$ theorems

Henri Martikainen·Mihalis Mourgoglou·Emil Vuorinen
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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.

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Henri Martikainen, Mihalis Mourgoglou, Emil Vuorinen. 2015-11-02. A new approach to non-homogeneous local $Tb$ theorems. https://arxiv.org/abs/1511.00528

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