Matrix weights, Littlewood Paley inequalities and the Riesz transforms
Classical Analysis and ODEs
2013-03-29 v1
Abstract
We discuss weighted estimates for the squares of the Riesz transforms, R^{2}, on L^{2}(W) where W is a matrix A2 weight. We prove that if W is close to the Identity matrix Id, then the operator norm of R^{2} is close to its unweighted norm on L^{2} which is one. This is done by the use of the Bellman function technique.
Keywords
Cite
@article{arxiv.1303.7180,
title = {Matrix weights, Littlewood Paley inequalities and the Riesz transforms},
author = {Nicholas Boros and Nikolaos Pattakos},
journal= {arXiv preprint arXiv:1303.7180},
year = {2013}
}
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7 pages