Supported by the Outstanding Youth Research Project of Anhui Colleges(Grant No.2022AH030156)。
Let{X_(ni),F_(ni);1≤i≤n,n≥1}be an array of R^(d)martingale difference random vectors and{A_(ni),1≤i≤n,n≥1}be an array of m×d matrices of real numbers.In this paper,the Marcinkiewicz-Zygmund type weak law of lar...
Supported by the National Natural Science Foundation of China(11701403).
We consider a generalization of Baum-Katz theorem for random variables satisfying some cover conditions.Consequently,we get the results for many dependent structures,such as END,ϱ^(*)mixing,ϱ^(-)mixing andφ-mixing,etc.
In this paper, our aim is to prove the boundedness of commutators generated by the Marcinkiewicz integrals operator [b,μΩ] and obtain the result with Lipschitz function and BMO function ...
Supported by the National Natural Science Foundation of China(Grant No.11701004);the Natural Science Foundation of Anhui Province(Grant Nos.1808085QA03,1808085QF212,1808085QA17);Provincial Natural Science Research Project of Anhui Colleges(Grant Nos.KJ2016A027,KJ2017A027,KJ2019A0006);Excellent Young Talents Research Project of Anhui Colleges(Grant No.gxyq2018102);Key Research Project of Suzhou University(Grant No.2017yzd16)。
We investigate the strong law of large numbers(SLLN)for a large class of mean based on the Extended Negatively Dependent(END)sequences.The sufficient conditions are obtained for the mean of SLLN in this paper.As an im...