The matrix $A_2$ conjecture fails, i.e. $3/2>1$
Classical Analysis and ODEs
2024-02-13 v1
Abstract
We show that the famous matrix A2 conjecture is false: the norm of the Hilbert Transform in the space L2(W) with matrix weight W is estimated below by C[W]A23/2.
Cite
@article{arxiv.2402.06961,
title = {The matrix $A_2$ conjecture fails, i.e. $3/2>1$},
author = {Komla Domelevo and Stefanie Petermichl and Sergei Treil and Alexander Volberg},
journal= {arXiv preprint arXiv:2402.06961},
year = {2024}
}
Comments
46 pages, 5 figures
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