Multi-scale sparse domination
Classical Analysis and ODEs
2025-01-24 v3 Functional Analysis
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.
Cite
@article{arxiv.2009.00227,
title = {Multi-scale sparse domination},
author = {David Beltran and Joris Roos and Andreas Seeger},
journal= {arXiv preprint arXiv:2009.00227},
year = {2025}
}
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