A T(1) theorem for entangled multilinear dyadic Calder\'{o}n-Zygmund operators
Classical Analysis and ODEs
2014-11-10 v1
Abstract
We prove a boundedness criterion for a class of dyadic multilinear forms acting on two-dimensional functions. Their structure is more general than the one of classical multilinear Calder\'{o}n-Zygmund operators as several functions can now depend on the same one-dimensional variable. The study of this class is motivated by examples related to the two-dimensional bilinear Hilbert transform and to bilinear ergodic averages. This paper is a sequel to the prior paper arXiv:1108.0917 by the first author.
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Cite
@article{arxiv.1305.4752,
title = {A T(1) theorem for entangled multilinear dyadic Calder\'{o}n-Zygmund operators},
author = {Vjekoslav Kovač and Christoph Thiele},
journal= {arXiv preprint arXiv:1305.4752},
year = {2014}
}
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20 pages