Article ID Journal Published Year Pages File Type
8896718 Journal of Functional Analysis 2018 30 Pages PDF
Abstract
In this paper, we systematically study weighted jump and variational inequalities for rough operators. More precisely, we show some weighted jump and variational inequalities for the families T:={Tε}ε>0 of truncated singular integrals and MΩ:={MΩ,t}t>0 of averaging operators with rough kernels, which are defined respectively byTεf(x)=∫|y|>εΩ(y′)|y|nf(x−y)dy andMΩ,tf(x)=1tn∫|y|1.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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