Multilinear Calderón Zygmund operators on variable exponent Morrey spaces over domains

DOI10.1007/s11766-011-2704-8zbMath1240.42070OpenAlexW2087900093MaRDI QIDQ655763

Huihui Zhang, Xiao Yu, Xiang Xing Tao

Publication date: 27 January 2012

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

Full work available at URL: https://doi.org/10.1007/s11766-011-2704-8

zbMATH Keywords

multilinear Calderón-Zygmund operatorvariable exponent Lebesgue space over domainvariable exponent Morrey space over domain

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35)

Related Items (8)

MULTILINEAR CALDERÓN-ZYGMUND OPERATORS AND THEIR COMMUTATORS ON CENTRAL MORREY SPACES WITH VARIABLE EXPONENT ⋮ Boundedness of multilinear Calderón-Zygmund operators on grand variable Herz spaces ⋮ Multilinear Fourier multipliers on variable Lebesgue spaces ⋮ Boundedness of multilinear Calderón-Zygmund singular operators on weighted Lebesgue spaces and Morrey-Herz spaces with variable exponents ⋮ Unnamed Item ⋮ Boundedness of multilinear Calderón-Zygmund singular operators on Morrey-Herz spaces with variable exponents ⋮ \(A_\infty\) weight estimates for vector-valued commutators of multilinear fractional integral ⋮ Boundedness of multilinear operators on generalized Morrey spaces

Cites Work

• Multilinear singular integrals and commutators in variable exponent Lebesgue spaces
• Lebesgue and Sobolev spaces with variable exponents
• On the boundedness of multilinear operators on weighted Herz-Morrey spaces
• Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent
• Boundedness for multilinear fractional integral operators on Herz type spaces
• Multilinear Riesz potential operators on Herz-type spaces and generalized Morrey spaces
• Multilinear Calderón-Zygmund theory
• Endpoint estimates for commutators of multilinear fractional integral operators
• Commutators of singular integrals on spaces of homogeneous type
• Maximal operator and weighted norm inequalities for multilinear singular integrals
• Maximal function on generalized Lebesgue spaces L^p(⋅)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Multilinear Calderón Zygmund operators on variable exponent Morrey spaces over domains