Boundedness for multilinear fractional integral operators on Herz type spaces

DOI10.1007/s11766-008-1995-xzbMath1199.42079OpenAlexW2001197788MaRDI QIDQ1032808

Yanlong Shi, Xiang Xing Tao

Publication date: 11 November 2009

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

Full work available at URL: https://doi.org/10.1007/s11766-008-1995-x

zbMATH Keywords

product spaceHerz spacemultilinear fractional integralhomogeneous Herz-Morrey space

Mathematics Subject Classification ID

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

Related Items (4)

The boundedness of multilinear operators on generalized Morrey spaces over the quasi-metric space of non-homogeneous type ⋮ The boundedness of sublinear operators on Morrey-Herz spaces over the homogeneous type space ⋮ Multilinear Calderón Zygmund operators on variable exponent Morrey spaces over domains ⋮ Multilinear Riesz potential on Morrey-Herz spaces with non-doubling measures

Cites Work

• On Calderón's conjecture
• Multilinear estimates and fractional integration
• Multilinear Calderón-Zygmund theory
• Boundedness of rough singular integral operators on the homogeneous Morrey-Herz spaces
• Boundary value problems in Morrey spaces for elliptic systems on Lipschitz domains
• On the Neumann Problem for the Schrödinger Equations with Singular Potentials in Lipschitz Domains
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