Singular integrals with variable kernels in dyadic settings
Classical Analysis and ODEs
2021-01-28 v1 Analysis of PDEs
Abstract
In this paper we explore conditions on variable symbols with respect to Haar systems, defining Calder\'on-Zygmund type operators with respect to the dyadic metrics associated to the Haar bases.We show that Petermichl's dyadic kernel can be seen as a variable kernel singular integral and we extend it to dyadic systems built on spaces of homogeneous type.
Keywords
Cite
@article{arxiv.2101.11057,
title = {Singular integrals with variable kernels in dyadic settings},
author = {Hugo Aimar and Raquel Crescimbeni and Luis Nowak},
journal= {arXiv preprint arXiv:2101.11057},
year = {2021}
}
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17 pages