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Fall 2013 A T(1) theorem for entangled multilinear dyadic Calderón–Zygmund operators
Vjekoslav Kovač, Christoph Thiele
Illinois J. Math. 57(3): 775-799 (Fall 2013). DOI: 10.1215/ijm/1415023510

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 Calderón–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 a prior paper by the first author.

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Vjekoslav Kovač. Christoph Thiele. "A T(1) theorem for entangled multilinear dyadic Calderón–Zygmund operators." Illinois J. Math. 57 (3) 775 - 799, Fall 2013. https://doi.org/10.1215/ijm/1415023510

Information

Published: Fall 2013
First available in Project Euclid: 3 November 2014

zbMATH: 1311.42040
MathSciNet: MR3275738
Digital Object Identifier: 10.1215/ijm/1415023510

Subjects:
Primary: 42B20

Rights: Copyright © 2013 University of Illinois at Urbana-Champaign

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Vol.57 • No. 3 • Fall 2013
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