Some jump and variational inequalities for the Calder\'on commutators and related operators
Classical Analysis and ODEs
2017-09-12 v1
Abstract
In this paper, we establish jump and variational inequalities for the Calder\'{o}n commutators, which are typical examples of non-convolution Calder\'on-Zygmund operators. For this purpose, we also show jump and variational inequalities for para-products and commutators from pseudo-differential calculus, which are of independent interest. New ingredients in the proofs involve identifying Carleson measures constructed from sequences of stopping times, in addition to many Littlewood-Paley type estimates with gradient.
Keywords
Cite
@article{arxiv.1709.03127,
title = {Some jump and variational inequalities for the Calder\'on commutators and related operators},
author = {Yanping Chen and Yong Ding and Guixiang Hong and Jie Xiao},
journal= {arXiv preprint arXiv:1709.03127},
year = {2017}
}
Comments
44 pages