Boundedness of fractional integral operators on \(\alpha\)-modulation spaces

DOI10.1007/S11766-014-3170-XzbMath1324.42027OpenAlexW2399545845MaRDI QIDQ2350400

Jiecheng Chen, Xiaomei Wu

Publication date: 29 June 2015

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

Full work available at URL: https://doi.org/10.1007/s11766-014-3170-x

zbMATH Keywords

bilinear Hilbert transformfractional integral operatorbilinear fractional integral operator\(\alpha\)-modulation space

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35)

Related Items (7)

Strongly singular integrals along curves on \(\alpha\)-modulation spaces ⋮ Non-integer power estimate in modulation spaces and its applications ⋮ Unimodular multipliers on \(\alpha\)-modulation spaces: a revisit with new method ⋮ Some estimates for the bilinear fractional integrals on the Morrey space ⋮ FRACTIONAL INTEGRAL OPERATORS ON -MODULATION SPACES IN THE FULL RANGE ⋮ Oscillatory hyper-Hilbert transform along curves on modulation spaces ⋮ Fractional integral operators on α-modulation spaces

Cites Work

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• \(\alpha\)-modulation spaces. I. Scaling, embedding and algebraic properties
• Trace operators for modulation, \(\alpha\)-modulation and Besov spaces
• Modulation space estimates for the fractional integral operators
• Banach frames for \(\alpha\)-modulation spaces
• Boundedness for pseudodifferential operators on multivariate \(\alpha \)-modulation spaces
• \(L^p\) estimates on the bilinear Hilbert transform for \(2<p<\infty\)
• Multilinear estimates and fractional integration
• Estimates for wave and Klein-Gordon equations on modulation spaces
• \(A_\infty\) weight estimates for vector-valued commutators of multilinear fractional integral
• Banach frames for multivariate \(\alpha\)-modulation spaces
• Boundedness of multilinear operators on generalized Morrey spaces
• On the \(L^2\)-boundedness of pseudo-differential operators and their commutators with symbols in \(\alpha \)-modulation spaces
• A remark on fractional integrals on modulation spaces
• On multilinear fractional integrals

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