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arXiv · 2009.00227

Multi-scale sparse domination

David Beltran·Joris Roos·Andreas Seeger
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Abstract

We prove a bilinear form sparse domination theorem that applies to many multi-scale operators beyond Calder\'on-Zygmund theory, and also establish necessary conditions. Among the applications, we cover large classes of Fourier multipliers, maximal functions, square functions and variation norm operators.

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David Beltran, Joris Roos, Andreas Seeger. 2020-09-01. Multi-scale sparse domination. https://doi.org/10.1090/memo/1491

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