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The local Tb theorem with rough test functions
local Tb theorem test functions Classical Analysis and ODEs
2012/6/21
We prove a version of the local Tb theorem under minimal integrability assumptions, answering a question of S. Hofmann (El Escorial, 2008): Every cube is assumed to support two non-degenerate function...
In the setting of spaces of homogeneous type, we give a direct proof of the local Tb theorem for singular integral operators. Motivated by questions of S. Hofmann, we extend it to the case when the i...
In this paper, local Tb theorems are studied both in the doubling and non-doubling situation. We prove a local Tb theorem for the class of upper doubling measures. With such general measures, scale i...