Hilbert transforms along convex curves for \(l^q\)-valued functions

DOI10.1155/2014/827072zbMath1287.42009OpenAlexW2006485363WikidataQ59048628 ScholiaQ59048628MaRDI QIDQ2449039

Hong Hai Liu

Publication date: 6 May 2014

Published in: ISRN Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/827072

zbMATH Keywords

Hilbert transformconvex curves\(l^q\)-valued functions

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Cites Work

• Unnamed Item
• Unnamed Item
• Hilbert transforms for convex curves
• Operators associated to flat plane curves: \(L^ p\) estimates via dilation methods
• Rough singular integrals supported on submanifolds
• Calderón-Zygmund theory for operator-valued kernels
• \(L^ p\) bounds for Hilbert transforms along convex curves
• The boundedness of maximal operators and singular integrals via Fourier transform estimates
• Interpolation of analytic families of operators
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• 𝐿^{𝑝} estimates for maximal functions and Hilbert transforms along flat convex curves in 𝐑²
• Hilbert Transforms Associated With Plane Curves
• Problems in harmonic analysis related to curvature
• On vector-valued Fourier multiplier theorems

This page was built for publication: Hilbert transforms along convex curves for \(l^q\)-valued functions