Mapping properties of certain oscillatory integrals on modulation spaces

DOI10.1007/s10114-017-6505-8zbMath1386.42005OpenAlexW2766069301MaRDI QIDQ1686992

Hui Hui Liu, Ai Wen Sun, Mei Fang Cheng

Publication date: 18 December 2017

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

Full work available at URL: https://doi.org/10.1007/s10114-017-6505-8

zbMATH Keywords

singular integral operatorWiener amalgam spacemodulation space

Mathematics Subject Classification ID

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

Cites Work

• Modulation spaces, Wiener amalgam spaces, and Brownian motions
• The global Cauchy problem for the NLS and NLKG with small rough data
• Fourier multipliers of classical modulation spaces
• Modulation spaces \(M^{p,q}\) for \(0<p,q\leq\infty\)
• Unimodular Fourier multipliers for modulation spaces
• Certain oscillatory integrals on unit square and their applications
• Boundedness of pseudodifferential operators on modulation spaces.
• \(L^ p\)-bounds for hypersingular integral operators along curves
• Pseudodifferential Operators on Lp, Wiener Amalgam and Modulation Spaces"
• SHARPNESS OF SOME PROPERTIES OF WIENER AMALGAM AND MODULATION SPACES
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