Modulation space estimates for the fractional integral operators

DOI10.1007/S11425-011-4215-8zbMath1238.42008OpenAlexW2067571389MaRDI QIDQ763623

Yong Zhong, Jiecheng Chen

Publication date: 29 March 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4215-8

zbMATH Keywords

modulation spacesfractional integral operatorbilinear fractional integral operatormodulation Hardy spaces

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Pseudodifferential operators (47G30)

Related Items (7)

Sharpness of some properties of weighted modulation spaces ⋮ Unimodular multipliers on \(\alpha\)-modulation spaces: a revisit with new method ⋮ FRACTIONAL INTEGRAL OPERATORS ON -MODULATION SPACES IN THE FULL RANGE ⋮ Fractional integral operators on α-modulation spaces ⋮ Sharp weighted inequalities for multilinear fractional maximal operators and fractional integrals ⋮ Boundedness of fractional integral operators on \(\alpha\)-modulation spaces ⋮ Fractional integral operator on modulation and Wiener amalgam spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Banach spaces related to integrable group representations and their atomic decompositions. I
• Hardy space estimates for the wave equation on compact Lie groups
• Central oscillating multipliers on compact Lie groups
• Asymptotic estimates for unimodular Fourier multipliers on modulation spaces
• Modulation spaces \(M^{p,q}\) for \(0<p,q\leq\infty\)
• Unimodular Fourier multipliers for modulation spaces
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. I.
• Multilinear estimates and fractional integration
• Bilinear pseudodifferential operators on modulation spaces
• The dilation property of modulation spaces and their inclusion relation with Besov spaces
• Frequency-uniform decomposition method for the generalized BO, KdV and NLS equations
• ENDPOINT ESTIMATES FOR MULTILINEAR FRACTIONAL INTEGRALS
• A remark on fractional integrals on modulation spaces
• Estimates for unimodular Fourier multipliers on modulation spaces
• On multilinear fractional integrals
• A Note on Riesz Potentials and the First Eigenvalue
• Fractional integrals on modulation spaces
• Modulation space estimates for multilinear pseudodifferential operators

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