Multilinear commutators of fractional integrals over Morrey spaces with non-doubling measures

DOI10.1007/s00030-010-0096-8zbMath1225.42008OpenAlexW2043047134MaRDI QIDQ543480

Taotao Zheng, Xiang Xing Tao

Publication date: 17 June 2011

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-010-0096-8

zbMATH Keywords

Morrey spacenon-doubling measuremultilinear fractional integralmulti-commutatorRBMO function

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30)

Related Items

Bilinear Calderón-Zygmund operators of type \(\omega(t)\) on non-homogeneous space ⋮ The boundedness of multilinear operators on generalized Morrey spaces over the quasi-metric space of non-homogeneous type ⋮ Estimates for Marcinkiewicz commutators with Lipschitz functions under nondoubling measures ⋮ Multilinear fractional integrals on Morrey spaces ⋮ A note on the bilinear fractional integral operator acting on Morrey spaces ⋮ Boundedness and compactness for the commutators of bilinear operators on Morrey spaces

Cites Work

• Generalized Morrey spaces for non-doubling measures
• Factorization theorems for Hardy spaces in several variables
• A note on commutators of fractional integrals with \(\text{RBMO}(\mu)\) functions
• Multilinear commutators of singular integrals with non doubling measures
• Sharp maximal inequalities and commutators on Morrey spaces with non-doubling measures
• Morrey spaces for non-doubling measures
• BMO, \(H^1\), and Calderón-Zygmund operators for non doubling measures
• Unnamed Item