Yong, Jiao; Lihua, P.; Peide, L. Atomic decompositions of Lorentz martingale spaces and applications. (English) Zbl 1173.60320 J. Funct. Spaces Appl. 7, No. 2, 153-166 (2009). 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. Cited in 1 ReviewCited in 36 Documents MSC: 60G42 Martingales with discrete parameter 60G46 Martingales and classical analysis Keywords:atomic decompositions; martingale inequalities; Lorentz spaces; interpolation PDF BibTeX XML Cite \textit{J. Yong} et al., J. Funct. Spaces Appl. 7, No. 2, 153--166 (2009; Zbl 1173.60320) Full Text: DOI