Mixed Quasi-martingale Hardy SpacesOA
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.
ZHANG Chuanzhou;LI Shimeng;HE Zhibin
College of Science,Wuhan University of Science and Technology,Wuhan 430065,ChinaCollege of Science,Wuhan University of Science and Technology,Wuhan 430065,ChinaCollege of Science,Wuhan University of Science and Technology,Wuhan 430065,China
数理科学
Mixed quasi-martingale Hardy spaceAtomic Decompositionσ-sublinear operator
《应用数学》 2026 (1)
P.221-231,11
Supported by the National Natural Science Foundation of China(11871195)。
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