Multi-scale sparse domination

Published 1 Sep 2020 in math.CA and math.FA | (2009.00227v3)

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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