×

Atomic decompositions of Lorentz martingale spaces and applications. (English) Zbl 1173.60320

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:

60G42 Martingales with discrete parameter
60G46 Martingales and classical analysis
PDF BibTeX XML Cite
Full Text: DOI