A unified method for maximal truncated Calderón-Zygmund operators in general function spaces by sparse domination

2017/11/01 by Theresa C. Anderson, Bingyang Hu, Anderson, Theresa C. +1
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1711.00203

openalex publication_date 2017/11/01 · openalex created_date 2017/11/10 · openalex updated_date 2026/07/28

Abstract

In this note we give simple proofs of several results involving maximal truncated Caldeón-Zygmund operators in the general setting of rearrangement invariant quasi-Banach function spaces by sparse domination. Our techniques allow us to track the dependence of the constants in weighted norm inequalities; additionally, our results hold in ℝⁿ as well as in many spaces of homogeneous type.

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