Multilinear singular and fractional integrals

DOI10.1007/S10114-005-0662-XzbMath1129.42352OpenAlexW1985928860MaRDI QIDQ2508548

Kôzô Yabuta, Lu, Shanzhen, Ding, Yong

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0662-x

Mathematics Subject Classification ID

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

Related Items (10)

Multilinear singular and fractional integrals on weighted Hardy spaces ⋮ Boundedness of higher-order Marcinkiewicz-type integrals ⋮ Inequality estimates for the boundedness of multilinear singular and fractional integral operators ⋮ Generalized commutators for Marcinkiewicz type integrals with variable kernels ⋮ \(A_\infty\) weight estimates for vector-valued commutators of multilinear fractional integral ⋮ Lipschitz estimates for one-sided Cohen's commutators on weighted one-sided Triebel-Lizorkin spaces ⋮ Endpoint estimates for commutators of multilinear fractional integral operators ⋮ Two operators related to Marcinkiewicz integrals ⋮ A generalization of the concept of \(q\)-fractional integrals ⋮ Weighted compactness for Calderón type commutators and oscillatory operators

Cites Work

• A BMO estimate for multilinear singular integrals
• Factorization theorems for Hardy spaces in several variables
• Mean oscillation and commutators of singular integral operators
• Characterization of the Besov spaces via the commutator operator of Coifman, Rochberg and Weiss
• A Besov estimate for multilinear singular integrals
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