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

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arxiv 2012.00575 v1 pith:BGBZDF3E submitted 2020-12-01 math.FA math.CA

Ruming Gong , Manasa N. Vempati , Qingyan Wu This is my paper · ORCID
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keywords maximalcommutatorshomogeneoustypecommutatorfunctionsspacespaces
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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.

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  1. Commutators of Maximal Operators on Weighted Morrey Spaces

    math.FA 2024-11 reject novelty 4.0 of 10

    The paper extends Euclidean BMO commutator characterizations to weighted Morrey spaces on spaces of homogeneous type, but the proofs have major gaps.

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