摘要
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.
本文研究混合L_(p)范数定义的混合拟鞅Hardy空间.通过利用Doob不等式,讨论了混合拟鞅Hardy空间的原子分解和拟鞅不等式,并给出了σ-次线性算子在混合拟鞅Hardy空间有界性的充分条件.上述结果利用混合L_(p)范数的定义推广了混合拟鞅Hardy空间中己知结论.
出处
《应用数学》
北大核心
2026年第1期221-231,共11页
Mathematica Applicata
基金
Supported by the National Natural Science Foundation of China(11871195)。
