Strong and weak type estimates for singular integrals with respect to measures separated by AD-regular boundaries
Classical Analysis and ODEs
2016-10-17 v1 Functional Analysis
Abstract
We prove weak and strong boundedness estimates for singular integrals in with respect to -dimensional measures separated by Ahlfors-David regular boundaries, generalizing and extending results of Chousionis and Mattila. Our proof follows a different strategy based on new Calder\'on-Zygmund decompositions which can be also used to extend a result of David.
Keywords
Cite
@article{arxiv.1301.2529,
title = {Strong and weak type estimates for singular integrals with respect to measures separated by AD-regular boundaries},
author = {Vasilis Chousionis and Xavier Tolsa},
journal= {arXiv preprint arXiv:1301.2529},
year = {2016}
}