A note on two weight commutators of maximal functions on spaces of homogeneous type

2020/12/01 by Ruming Gong, Gong, Ruming, Manasa N. Vempati +3
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2012.00575

openalex publication_date 2020/12/01 · openalex created_date 2020/12/07 · openalex updated_date 2026/07/28

Abstract

We study the two weight quantitative estimates for the commutator of maximal functions and the maximal commutators with respect to the symbol in weighted BMO space on spaces of homogeneous type. These commutators turn out to be controlled by the sparse operators in the setting of space of homogeneous type. The lower bound of the maximal commutator is also obtained.

Related

• Commutators of maximal functions on spaces of homogeneous type and their weighted, local versions
• Commutators of Maximal Operators on Weighted Morrey Spaces
• Two weight commutators on spaces of homogeneous type and applications
• Calderón-Zygmund operators and commutators in spaces of homogeneous type: weighted inequalities
• Characterization of BMO spaces via commutators of some maximal operators on the slice spaces