On the compactness of oscillation and variation of commutators

2019/04/21 by Weichao Guo, Yongming Wen, Guo, Weichao +5
Mathematics · #42B20 #42B25 #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.1904.09572

openalex publication_date 2019/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we first establish the weighted compactness result for oscillation and variation associated with the truncated commutator of singular integral operators. Moreover, we establish a new CMO(ℝⁿ) characterization via the compactness of oscillation and variation of commutators on weighted Lebesgue spaces.

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