Atomic decompositions of Lorentz martingale spaces and applications

In the paper 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 inequalitie...

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Bibliographic Details
Main Authors: Jiao Yong, Peng Lihua, Liu Peide
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2009/465079