Weak martingale Hardy spaces and weak atomic decompositions
type: Item
instance of: scholarly article
title: Weak martingale Hardy spaces and weak atomic decompositions
zbMATH Open document ID: 1113.60044
author: Youliang Hou
author: Yanbo Ren
published in: Science in China. Series A
publication date: 2007-02-16T00:00:00Z
review text: Weak martingale Hardy spaces and three kinds of weak atoms are considered. The atomic decomposition of weak martingale Hardy spaces are proved. Sufficient conditions are given for a sublinear operator to be bounded on the weak martingale Hardy spaces. Some results are generalized from the papers by \textit{F. Weisz} [Probab. Theory Relat. Fields 84, No. 3, 361--376 (1990; Zbl 0687.60046) and Acta Math. Hung. 80, No. 3, 249--264 (1998; Zbl 0914.42021)].
Mathematics Subject Classification ID: 60G42
zbMATH DE Number: 5127925
zbMATH Keywords: martingale
zbMATH Keywords: weak Hardy spaces
zbMATH Keywords: weak atom
zbMATH Keywords: atomic decomposition
reviewed by: Ferenc Weisz
MaRDI profile type: Publication
full work available at URL: s11425-006-0912-0
OpenAlex ID: W1995535996
cites work: Martingale Hardy spaces and their applications in Fourier analysis
cites work: Bounded operators on weak Hardy spaces and applications
cites work: Atomic decompositions of Banach-space-valued martingales
cites work: Q3135095
DOI: 10.1007/S11425-006-0912-0
description: scientific article; zbMATH DE number 5127925