| The concepts of Hardy-Morrey martingale space and weak Hardy-Orlicz-Morrey martingale space are introduced.The"mixed-type"atomic decomposition theorems are proved for these two types of martingale spaces.Then,using the established atomic decomposition theorems,several martingale inequalities are proved,and some classical martingale inequalities are extended to the form of Lp norm and quasi-norm with respect to the Morrey space Mp,Фquasi-norm.The quasi-norm form of weak Orlicz space w Lp is also extended to the form of weak Orlicz-Morrey space w Mp,Фquasi-norm. |
