In this work, the sample path large deviations for independent, identically distributed random variables under sub-linear expectations are established. The results obtained in sublinear expectation spaces extend the c...In this work, the sample path large deviations for independent, identically distributed random variables under sub-linear expectations are established. The results obtained in sublinear expectation spaces extend the corresponding ones in probability space.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Doctoral Scientific Research Starting Foundation of Jingdezhen Ceramic University (Grant No. 102/01003002031)Academic Achievement Re-cultivation Project of Jingdezhen Ceramic University (Grant No. 215/205062777)the Science and Technology Research Project of Jiangxi Provincial Department of Education of China (Grant No. GJJ2201041)。
文摘In this work, the sample path large deviations for independent, identically distributed random variables under sub-linear expectations are established. The results obtained in sublinear expectation spaces extend the corresponding ones in probability space.
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.
