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A New Approach to Non-Homogeneous Local Tb Theorems
Journal d'Analyse Mathématique ( IF 0.8 ) Pub Date : 2021-05-07 , DOI: 10.1007/s11854-021-0147-6 Henri Martikainen , Mihalis Mourgoglou , Emil Vuorinen
中文翻译:
非齐次局部Tb定理的一种新方法
更新日期:2021-05-07
Journal d'Analyse Mathématique ( IF 0.8 ) Pub Date : 2021-05-07 , DOI: 10.1007/s11854-021-0147-6 Henri Martikainen , Mihalis Mourgoglou , Emil Vuorinen
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:
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。