Calderón-Zygmund operators on local hardy spaces

2022/03/06 by The Anh Bui, Bui, The Anh, Fu Ken Ly +1
Mathematics · #42B20 #42B30 #42B35 #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2203.02875

openalex publication_date 2022/03/06 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

Abstract

We give necessary and sufficient conditions for inhomogeneous Calderón-Zgymund operators to be bounded on the local hardy spaces h^p(ℝⁿ). We then give applications to local and truncated Riesz transforms, as well as pseudo-differential operators defined by amplitudes.

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