The Hilbert Transform and Orthogonal Martingales in Banach Spaces

DOI10.1093/imrn/rnz187zbMath1497.46011arXiv1805.03948OpenAlexW2968203414MaRDI QIDQ5068194

Adam Osȩkowski, Ivan S. Yaroslavtsev

Publication date: 5 April 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.03948

zbMATH Keywords

Hilbert transformUMD spacemartingales on Banach spaces

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Martingales with continuous parameter (60G44) Probabilistic methods in Banach space theory (46B09) Applications of functional analysis in probability theory and statistics (46N30)

Related Items (4)

Euclidean Structures and Operator Theory in Banach Spaces ⋮ Local characteristics and tangency of vector-valued martingales ⋮ Burkholder-Davis-Gundy inequalities in UMD Banach spaces ⋮ On the martingale decompositions of Gundy, Meyer, and Yoeurp in infinite dimensions

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