\(L^ p\)-boundedness of the multiple Hilbert transform along a surface

DOI10.2140/pjm.1983.108.221zbMath0462.44001OpenAlexW1974614368MaRDI QIDQ1153304

James Vance

Publication date: 1983

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1983.108.221

zbMATH Keywords

convolution operatorsmultiple Hilbert transform

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Multipliers for harmonic analysis in several variables (42B15)

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Maximal functions along surfaces in product spaces ⋮ Double Hilbert transforms along polynomial surfaces in \(\mathbb{R}^3\) ⋮ Multiparameter Maximal Functions Along Dilation-Invariant Hypersurfaces ⋮ Multiparameter singular integrals and maximal functions ⋮ Multiple singular integrals and maximal functions along hypersurfaces