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Zbl 1173.60320
Yong, J.; Lihua, P.; Peide, L.
Atomic decompositions of Lorentz martingale spaces and applications. (English)
[J] J. Funct. Spaces Appl. 7, No. 2, 153-166 (2009). ISSN 0972-6802

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.
MSC 2000:
*60G42 Martingales with discrete parameter
60G46 Martingales and classical analysis

Keywords: atomic decompositions; martingale inequalities; Lorentz spaces; interpolation

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