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...
In this note, we obtain sharp Lp estimates of parametric Marcinkiewicz integral operators. Our result resolves a long standing open problem. Also, we present a class of parametric Marcinkiewicz integral operators that...
Let L =-△+V(x) be a Schrodinger operator, where △ is the Laplacian on R^n,while nonnegative potential V(x) belonging to the reverse Holder class. The aim of this paper is to give generalized weighted Morrey estimate...