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On Sharpness of Llog L Criterion for Weak Type (1,1) boundedness of rough operators

2023/07/18 by Bhojak, Ankit
#42B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2307.08977

Abstract

In this note, we show that the Llog L hypothesis is the strongest size condition on a homogeneous rough function on the sphere which ensures the weak type (1,1) boundedness of the corresponding singular integral TΩ, provided TΩ is bounded in L2.

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