Oscillatory hyper-Hilbert transform along curves on modulation spaces

DOI10.1007/S11464-018-0688-XzbMath1400.42017OpenAlexW2794194823WikidataQ130089505 ScholiaQ130089505MaRDI QIDQ1787124

Xiaomei Wu, Fan, Dashan

Publication date: 4 October 2018

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-018-0688-x

zbMATH Keywords

\(\alpha\)-modulation spaceshomogeneous curvesinhomogeneous Besov spaces

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Multipliers for harmonic analysis in several variables (42B15)

Cites Work

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• Sharpness of complex interpolation on \(\alpha \)-modulation spaces
• Critical exponent for evolution equations in modulation spaces
• Hypersingular integral operators on modulation spaces for \(0<p<1\)
• \(\alpha\)-modulation spaces. I. Scaling, embedding and algebraic properties
• Unimodular Fourier multipliers on homogeneous Besov spaces
• Sharp \(L^{2}\) boundedness of the oscillatory hyper-Hilbert transform along curves
• Boundedness for pseudodifferential operators on multivariate \(\alpha \)-modulation spaces
• \(L^ p\)-bounds for hypersingular integral operators along curves
• Boundedness of fractional integral operators on \(\alpha\)-modulation spaces
• Strongly singular integrals along curves on \(\alpha\)-modulation spaces
• 𝐿^{𝑝} bounds for oscillatory hyper-Hilbert transform along curves

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