Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896718 | Journal of Functional Analysis | 2018 | 30 Pages |
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)=â«|y|>εΩ(yâ²)|y|nf(xây)dy andMΩ,tf(x)=1tnâ«|y|1.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Yanping Chen, Yong Ding, Guixiang Hong, Honghai Liu,