On the action of the Hilbert transform on \(\ell_1^N\)-valued functions

DOI10.1016/j.spl.2018.11.022zbMath1415.60041OpenAlexW2901390647MaRDI QIDQ1726876

Adam Osȩkowski

Publication date: 20 February 2019

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2018.11.022

zbMATH Keywords

martingaleplurisubharmonic functiontransformanalyticbest constantsUMD space

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Martingales with continuous parameter (60G44)

Cites Work

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• Some remarks on Banach spaces in which martingale difference sequences are unconditional
• Differential subordination and strong differential subordination for continuous-time martingales and related sharp inequalities
• Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms
• Analysis in Banach Spaces
• Best constants for some operators associated with the Fourier and Hilbert transforms

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