In this article,we conduct a study on mixed quasi-martingale Hardy spaces that are defined by means of the mixed L_(p)-norm.By utilizing Doob’s inequalities,we explore the atomic decomposition and quasi-martingale in...In this article,we conduct a study on mixed quasi-martingale Hardy spaces that are defined by means of the mixed L_(p)-norm.By utilizing Doob’s inequalities,we explore the atomic decomposition and quasi-martingale inequalities of mixed quasi-martingale Hardy spaces.Moreover,we furnish sufficient conditions for the boundedness ofσ-sublinear operators in these spaces.These findings extend the existing conclusions regarding mixed quasi-martingale Hardy spaces defined with the help of the mixed L_(p)-norm.展开更多
In this paper,the authors introduce weak mixed martingale Hardy spaces defined with the help of weak mixed L^(p→) norm.The authors establish atomic decompositions of weak mixed martingale Hardy spaces and give the su...In this paper,the authors introduce weak mixed martingale Hardy spaces defined with the help of weak mixed L^(p→) norm.The authors establish atomic decompositions of weak mixed martingale Hardy spaces and give the sufficient conditions for the boundedness ofσ-sublinear operators on weak mixed martingale Hardy spaces.As an application,the inclusion relations of different weak mixed martingale Hardy spaces are easily proved.展开更多
基金Supported by the National Natural Science Foundation of China(11871195)。
文摘In this article,we conduct a study on mixed quasi-martingale Hardy spaces that are defined by means of the mixed L_(p)-norm.By utilizing Doob’s inequalities,we explore the atomic decomposition and quasi-martingale inequalities of mixed quasi-martingale Hardy spaces.Moreover,we furnish sufficient conditions for the boundedness ofσ-sublinear operators in these spaces.These findings extend the existing conclusions regarding mixed quasi-martingale Hardy spaces defined with the help of the mixed L_(p)-norm.
文摘In this paper,the authors introduce weak mixed martingale Hardy spaces defined with the help of weak mixed L^(p→) norm.The authors establish atomic decompositions of weak mixed martingale Hardy spaces and give the sufficient conditions for the boundedness ofσ-sublinear operators on weak mixed martingale Hardy spaces.As an application,the inclusion relations of different weak mixed martingale Hardy spaces are easily proved.
