Representation of bi-parameter singular integrals by dyadic operators
Classical Analysis and ODEs
2013-01-15 v1
Abstract
We prove a dyadic representation theorem for bi-parameter singular integrals. That is, we represent certain bi-parameter operators as rapidly decaying averages of what we call bi-parameter shifts. A new version of the product space T1 theorem is established as a consequence.
Cite
@article{arxiv.1110.1890,
title = {Representation of bi-parameter singular integrals by dyadic operators},
author = {Henri Martikainen},
journal= {arXiv preprint arXiv:1110.1890},
year = {2013}
}
Comments
26 pages