Multi-scale sparse domination

Abstract

We prove a bilinear form sparse domination theorem that applies to many multi-scale operators beyond Calderón-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.

Version to be published

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Cited by in corpus (3)

• Operator-free sparse domination
• Lebesgue space estimates for spherical maximal functions on Heisenberg groups
• Bochner-Riesz means at the critical index: Weighted and sparse bounds