Bilinear fractional integral along homogeneous curves

DOI10.1007/S00041-016-9511-9zbMath1390.42026OpenAlexW2548839153MaRDI QIDQ1691991

Junfeng Li, Peng Liu

Publication date: 25 January 2018

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-016-9511-9

zbMATH Keywords

bilinear operatormulti-linear interpolationfractional integral along curve

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items (1)

Bilinear Hilbert transforms and (sub)bilinear maximal functions along convex curves

Cites Work

• Bilinear Hilbert transforms associated with plane curves
• Bilinear Hilbert transforms along curves, I: The monomial case
• Multilinear estimates and fractional integration
• Convolution and fractional integration with measures on homogeneous curves in \(\mathbb R^n\)
• Harmonic analysis on nilpotent groups and singular integrals. III: Fractional integration along manifolds
• Endpoint bounds for multilinear fractional integrals
• Problems in harmonic analysis related to curvature
• A Remark on Convolution With Measures Supported on Curves
• On multilinear fractional integrals
• Fractional integration along homogeneous curves in $R^3$
• Convolution Estimates for Some Measures on Curves
• Modern Fourier Analysis
• On the boundedness of the bilinear Hilbert transform along “non-flat” smooth curves
• Some remarks on multilinear maps and interpolation

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