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Autores principales: Chen, Peng, Lacey, Michael, Li, Ji, Vempati, Manasa N.
Formato: Preprint
Publicado: 2022
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Acceso en línea:https://arxiv.org/abs/2204.11990
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author Chen, Peng
Lacey, Michael
Li, Ji
Vempati, Manasa N.
author_facet Chen, Peng
Lacey, Michael
Li, Ji
Vempati, Manasa N.
contents We establish the characterization of compactness for the sparse operator (associated with symbol in weighted VMO space) in the two weight setting on the spaces of homogeneous type in the sense of Coifman and Weiss. As a direct application we obtain the compactness characterization for the maximal commutators with respect to the weighted VMO functions and the commutator of Calderón-Zygmund operators on the homogeneous spaces. Furthermore, our approach can be applied to compactness characterization for operators in the multilinear Bloom setting.
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institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Compactness of the Bloom sparse operators and applications
Chen, Peng
Lacey, Michael
Li, Ji
Vempati, Manasa N.
Classical Analysis and ODEs
We establish the characterization of compactness for the sparse operator (associated with symbol in weighted VMO space) in the two weight setting on the spaces of homogeneous type in the sense of Coifman and Weiss. As a direct application we obtain the compactness characterization for the maximal commutators with respect to the weighted VMO functions and the commutator of Calderón-Zygmund operators on the homogeneous spaces. Furthermore, our approach can be applied to compactness characterization for operators in the multilinear Bloom setting.
title Compactness of the Bloom sparse operators and applications
topic Classical Analysis and ODEs
url https://arxiv.org/abs/2204.11990