The main aim of this article is to prove that the maximal operator σ_κ~*of the Marcinkiewicz-Fejér means of the two-dimensional Fourier series with respect to WalshKaczmarz system is bounded from the Hardy spac...The main aim of this article is to prove that the maximal operator σ_κ~*of the Marcinkiewicz-Fejér means of the two-dimensional Fourier series with respect to WalshKaczmarz system is bounded from the Hardy space H_(2/3)to the space weak-L_(2/3).展开更多
In this paper, we get the Hjek-Rényi-type inequalities for a pairwise NQD sequence, an Lr (r > 1) mixingale and a linear process, which have the concrete coefficients. In addition, we obtain the strong law o...In this paper, we get the Hjek-Rényi-type inequalities for a pairwise NQD sequence, an Lr (r > 1) mixingale and a linear process, which have the concrete coefficients. In addition, we obtain the strong law of large numbers, strong growth rate and the integrability of supremum for the above sequences, which generalize and improve Corollary 2 for Lr (r > 1) mixingale of Hansen.展开更多
在这篇论文，为概括 R-K K M 的一些新概括 R-K K M 类型定理与有限地关上的价值并且与有限地开的价值印射砰在没有任何凸状的拓扑的空格在弱得多的假设下面组织的军士合同被建立。作为应用，一些新得最高分的战略不平等，僵绳点定理和...在这篇论文，为概括 R-K K M 的一些新概括 R-K K M 类型定理与有限地关上的价值并且与有限地开的价值印射砰在没有任何凸状的拓扑的空格在弱得多的假设下面组织的军士合同被建立。作为应用，一些新得最高分的战略不平等，僵绳点定理和平衡，为有更低、上面的界限的平衡问题的存在定理在一般军士合同被建立拓扑的空格。这些定理在文学统一并且概括许多已知的结果。展开更多
基金supported by project TMOP-4.2.2.A-11/1/KONV-2012-0051,Shota Rustaveli National Science Foundation grant no.13/06(Geometry of function spaces,interpolation and embedding theorems)
文摘The main aim of this article is to prove that the maximal operator σ_κ~*of the Marcinkiewicz-Fejér means of the two-dimensional Fourier series with respect to WalshKaczmarz system is bounded from the Hardy space H_(2/3)to the space weak-L_(2/3).
基金Supported by the National Natural Science Foundation of China (No. 11171001, 11126176)Natural Science Foundation of Anhui Province (No. 1208085QA03)Provincial Natural Science Research Project of Anhui Colleges (No. KJ2010A005)
文摘In this paper, we get the Hjek-Rényi-type inequalities for a pairwise NQD sequence, an Lr (r > 1) mixingale and a linear process, which have the concrete coefficients. In addition, we obtain the strong law of large numbers, strong growth rate and the integrability of supremum for the above sequences, which generalize and improve Corollary 2 for Lr (r > 1) mixingale of Hansen.
基金This project is supported by Natural Science Foundation of Sichuan Education Department of China(2003A081)SZD0406
文摘在这篇论文，为概括 R-K K M 的一些新概括 R-K K M 类型定理与有限地关上的价值并且与有限地开的价值印射砰在没有任何凸状的拓扑的空格在弱得多的假设下面组织的军士合同被建立。作为应用，一些新得最高分的战略不平等，僵绳点定理和平衡，为有更低、上面的界限的平衡问题的存在定理在一般军士合同被建立拓扑的空格。这些定理在文学统一并且概括许多已知的结果。
