Atomic decompositions of Lorentz martingale spaces and applications.
type: Item
instance of: scholarly article
title: Atomic decompositions of Lorentz martingale spaces and applications.
zbMATH Open document ID: 1173.60320
DOI: 10.1155/2009/465079
author: Jiao Yong
author: P. Lihua
author: L. Peide
published in: Journal of Function Spaces and Applications
publication date: 2009-09-15T00:00:00Z
review text: Summary: We present three atomic decomposition theorems of Lorentz martingale spaces. With the help of atomic decomposition we obtain a sufficient condition for sublinear operator defined on Lorentz martingale spaces to be bounded. Using this sufficient condition, we investigate some inequalities on Lorentz martingale spaces.
Mathematics Subject Classification ID: 60G42
Mathematics Subject Classification ID: 60G46
zbMATH DE Number: 5604135
zbMATH Keywords: atomic decompositions
zbMATH Keywords: martingale inequalities
zbMATH Keywords: Lorentz spaces
zbMATH Keywords: interpolation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2009/465079
OpenAlex ID: W2115170454
description: scientific article; zbMATH DE number 5604135