Boundedness of multilinear singular integrals for non-doubling measures

DOI10.1016/J.JMAA.2006.04.049zbMath1106.42012OpenAlexW2073022753MaRDI QIDQ860586

Jing-shi Xu

Publication date: 9 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.04.049

zbMATH Keywords

maximal functionsingular integral operatornon-doubling measure

Mathematics Subject Classification ID

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

Related Items (12)

Commutators of multilinear strongly singular integrals on nonhomogeneous metric measure spaces ⋮ Multilinear Calderón-Zygmund operators on the product of Lebesgue spaces with non-doubling measures ⋮ Multilinear fractional integral operators on non-homogeneous metric measure spaces ⋮ Multilinear strongly singular integral operators on non-homogeneous metric measure spaces ⋮ 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 ⋮ Unnamed Item ⋮ Boundedness of vector valued bilinear Calderón-Zygmund operators on products of weighted Herz-Morrey spaces with variable exponents ⋮ A class of commutators for multilinear fractional integrals in nonhomogeneous spaces ⋮ Multilinear Riesz potential on Morrey-Herz spaces with non-doubling measures ⋮ Weighted norm inequality for bilinear Calderón-Zygmund operators on Herz-Morrey spaces with variable exponents ⋮ Maximal multilinear Calderón-Zygmund operators with non-doubling measures

Cites Work

• Unnamed Item
• Unnamed Item
• Multilinear estimates and fractional integration
• Multilinear Calderón-Zygmund theory
• Multilinear commutators for fractional integrals in non-homogeneous spaces
• Multilinear commutators of singular integrals with non doubling measures
• On multilinear singular integrals of Calderón-Zygmund type
• Maximal operator and weighted norm inequalities for multilinear singular integrals
• BMO, \(H^1\), and Calderón-Zygmund operators for non doubling measures

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