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.

中文翻译：

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非齐次局部Tb定理的一种新方法

我们开发了一种新的通用方法来证明各种不加倍的局部Tb定理。该方法结合了Tolsa的非齐次良好Lambda方法，Nazarov-Treil-Volberg的大块Tb定理和基于停止时间技术的新的量度参数更改。我们还将改善已知结果并讨论其他一些应用。