B-valued martingale spaces with small index and atomic decompositions
type: Item
instance of: scholarly article
title: B-valued martingale spaces with small index and atomic decompositions
zbMATH Open document ID: 1002.60036
DOI: 10.1007/BF02877064
author: Lin Yu
author: Peide Liu
published in: Science in China. Series A
publication date: 2002-08-15T00:00:00Z
review text: Some atomic decomposition theorems for Banach-space-valued martingales are established. Using them, the embedding relationships between martingale spaces with small index are discussed. The results obtained here are closely connected with the \(p\)-uniform smoothness and \(q\)-uniform convexity of the Banach space in which the martingales take values.
reviewed by: Yuhu Feng
Mathematics Subject Classification ID: 60G42
Mathematics Subject Classification ID: 46B09
zbMATH DE Number: 1782053
zbMATH Keywords: Banach-space-valued martingale
zbMATH Keywords: atomic decomposition
zbMATH Keywords: martingale space
zbMATH Keywords: geometry of Banach space
MaRDI profile type: Publication
cites work: Q4124046
cites work: A real variable characterization of $H^{p}$
cites work: H p -spaces of martingales, 0<p?1
cites work: Martingale Hardy spaces and their applications in Fourier analysis
cites work: Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients
full work available at URL: https://doi.org/10.1007/bf02877064
OpenAlex ID: W2149299742
description: scientific article; zbMATH DE number 1782053