Double Hilbert transform on \(\mathcal{D}(\mathbb R^2)\)

DOI10.1007/s11464-013-0269-yzbMath1278.42014OpenAlexW2022900064MaRDI QIDQ382144

Xiaona Cui, Rui Wang, Yan, Dunyan

Publication date: 18 November 2013

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-013-0269-y

zbMATH Keywords

homeomorphismvanishing momentsdouble Hilbert transform

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (1)

A note about multi-Hilbert transform on \(\mathcal D(\mathbb R^n)\)

Cites Work

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• A distribution space for Hilbert transform and its applications
• Singular integrals on product spaces
• Harmonic analysis on product spaces
• Vanishing moments for scaling vectors
• The Bedrosian identity for the Hilbert transform of product functions
• Estimates for double Hilbert transform

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