On a vector-valued extension of the Littlewood-Paley-Rubio de Francia inequality for Walsh functions

DOI10.1007/s10958-022-06223-xOpenAlexW4311197351MaRDI QIDQ2684728

A. Tselishchev

Publication date: 17 February 2023

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-06223-x

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Spaces of vector- and operator-valued functions (46E40) Probabilistic methods in Banach space theory (46B09)

Cites Work

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• On the vector-valued Littlewood-Paley-Rubio de Francia inequality
• Extension of a result of Benedek, Calderón and Panzone
• Singular convolution integrals with operator-valued kernel
• A Littlewood-Paley inequality for arbitrary intervals
• Martingale transforms and uniformly convergent orthogonal series
• Martingales in Banach Spaces
• Analysis in Banach Spaces
• Analysis in Banach Spaces
• Classical and Multilinear Harmonic Analysis
• The Littlewood—Paley—Rubio de Francia property of a Banach space for the case of equal intervals
• Littlewood–Paley–Rubio de Francia inequality for the Walsh system

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