Sharp \(L^{2}\) boundedness of the oscillatory hyper-Hilbert transform along curves

DOI10.1007/S10114-010-7396-0zbMath1193.42081OpenAlexW2011950031MaRDI QIDQ966544

Xiang Rong Zhu, Jiecheng Chen, Fan, Dashan

Publication date: 23 April 2010

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

Full work available at URL: https://doi.org/10.1007/s10114-010-7396-0

zbMATH Keywords

\(L^p\) boundshyper-Hilbert transform

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items (6)

Hölder norm estimate for a Hilbert transform in Hermitean Clifford analysis ⋮ Oscillatory hyper Hilbert transforms along general curves ⋮ Oscillatory integrals on unit square along surfaces ⋮ Boundedness of oscillatory hyper-Hilbert transform along curves on Sobolev spaces ⋮ Oscillatory hyper-Hilbert transform along curves on modulation spaces ⋮ Unnamed Item

Cites Work

• Unnamed Item
• \(L^ p\)-bounds for hypersingular integral operators along curves
• A PARABOLIC SINGULAR INTEGRAL OPERATOR WITH ROUGH KERNEL
• 𝐿^{𝑝} bounds for oscillatory hyper-Hilbert transform along curves

This page was built for publication: Sharp \(L^{2}\) boundedness of the oscillatory hyper-Hilbert transform along curves