Strongly singular integrals along curves on \(\alpha\)-modulation spaces

DOI10.1186/S13660-017-1458-0zbMath1373.42022OpenAlexW2744362255WikidataQ41332728 ScholiaQ41332728MaRDI QIDQ2400761

Xiaomei Wu, Xiao Yu

Publication date: 30 August 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-017-1458-0

zbMATH Keywords

Besov spaces\(\alpha\)-modulation spacesstrongly singular integralshomogeneous curves

Mathematics Subject Classification ID

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

Related Items (2)

Averaging operators along a certain type of surfaces with hypersingularity ⋮ Oscillatory hyper-Hilbert transform along curves on modulation spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unimodular Fourier multipliers with a time parameter on modulation spaces
• 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
• Strongly singular integrals 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
• 𝐿^{𝑝} bounds for oscillatory hyper-Hilbert transform along curves
• Problems in harmonic analysis related to curvature

This page was built for publication: Strongly singular integrals along curves on \(\alpha\)-modulation spaces