The boundedness of multilinear operators on generalized Morrey spaces over the quasi-metric space of non-homogeneous type

DOI10.1186/1029-242X-2013-330zbMath1284.42043OpenAlexW2147293710WikidataQ59301115 ScholiaQ59301115MaRDI QIDQ2437689

Sha He, Xiang Xing Tao

Publication date: 13 March 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-330

zbMATH Keywords

generalized Morrey spacemultilinear Calderón-Zygmund operatornon-doubling measuremultilinear fractional integralmulti-sublinear maximal function

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Related Items (4)

A Thought on Generalized Morrey Spaces ⋮ Unnamed Item ⋮ On the boundedness of multilinear fractional integral operators ⋮ Commutators of log-Dini-type parametric Marcinkiewicz operators on non-homogeneous metric measure spaces

Cites Work

• Multilinear commutators of fractional integrals over Morrey spaces with non-doubling measures
• Boundedness of multilinear singular integrals for non-doubling measures
• Boundedness for multilinear fractional integral operators on Herz type spaces
• A note on Riesz potentials
• Multilinear Calderón-Zygmund theory
• Multilinear fractional integrals on Morrey spaces
• Painlevé's problem and the semiadditivity of analytic capacity.
• Morrey spaces for non-doubling measures

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