Atomic decomposition with mixed type of martingale Hardy-Orlicz-Morrey spaces
The purpose of this paper is to introduce martingale Hardy-Orlicz-Morrey spaces and to construct the so-called mixed-type atomic decomposition theorems.As applications,a sufficient condition for sub-linear operators on martingale Hardy-Orlicz-Morrey spaces to be bounded is given and then some classical martingale inequalities are extended to the case of the Orlicz-Morrey space quasi-norms.
martingaleatomic decompositionHardy-Orlicz-Morrey space
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