Bilinear \(\theta\)-type generalized fractional integral operator and its commutator on some non-homogeneous spaces

DOI10.1016/j.bulsci.2021.103094zbMath1493.47050OpenAlexW4200487584MaRDI QIDQ2071454

Guanghui Lu, Shuang Ping Tao

Publication date: 28 January 2022

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2021.103094

zbMATH Keywords

Morrey spacecommutatornon-homogeneous metric measure spacebilinear \(\theta\)-type generalized fractional integral operatorspace \(\widetilde{\mathrm{RBMO}}(\mu)\)

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Operator theory and harmonic analysis (47B90)

Related Items (3)

Bilinear \(\theta\)-type generalized fractional integral and its commutator on nonhomogeneous metric measure spaces ⋮ Estimates for bilinear generalized fractional integral operator and its commutator on generalized Morrey spaces over RD-spaces ⋮ Estimates for bilinear \(\theta \)-type generalized fractional integral and its commutator on new non-homogeneous generalized Morrey spaces

Cites Work

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• A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
• A note on commutators of fractional integrals with \(\text{RBMO}(\mu)\) functions
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• The Hardy space H¹ on non-homogeneous metric spaces
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• Boundedness properties of fractional integral operators associated to non-doubling measures
• GENERALIZED MORREY SPACES OVER NONHOMOGENEOUS METRIC MEASURE SPACES
• BMO, \(H^1\), and Calderón-Zygmund operators for non doubling measures
• Littlewood-Paley theory and the \(T(1)\) theorem with non-doubling measures

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