Lipschitz estimates for commutator of fractional integral operators on non-homogeneous metric measure spaces

DOI10.1007/S11766-020-3319-8zbMath1488.42101OpenAlexW3086064019MaRDI QIDQ2221510

Dinghuai Wang, Jiang Zhou, Bo Lin Ma

Publication date: 2 February 2021

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-020-3319-8

zbMATH Keywords

fractional integralcommutatorLipschitz functionnon-homogeneous spaceendpoint estimate

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items (3)

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

Cites Work

• Unnamed Item
• Generalized fractional integrals and their commutators over non-homogeneous metric measure spaces
• A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa
• Lipschitz spaces and fractional integral operators associated with nonhomogeneous metric measure spaces
• Hardy spaces, regularized BMO spaces and the boundedness of Calderón-Zygmund operators on non-homogeneous spaces
• Boundedness of Calderón–Zygmund Operators on Non-homogeneous Metric Measure Spaces
• The space $H^1$ for nondoubling measures in terms of a grand maximal operator
• Boundedness of commutators with Lipschitz functions in non-homogeneous spaces
• BMO, \(H^1\), and Calderón-Zygmund operators for non doubling measures
• Littlewood-Paley theory and the \(T(1)\) theorem with non-doubling measures

This page was built for publication: Lipschitz estimates for commutator of fractional integral operators on non-homogeneous metric measure spaces