论文标题

关于$ t $的最大运营商在walsh-kaczmarz系统方面

On the maximal operators of $T$ means with respect to Walsh-Kaczmarz system

论文作者

Gogolashvili, Nata, Tephnadze, George

论文摘要

在本文中,我们证明并讨论了一些新的$ \ left(h_p,l_ {p,\ infty} \ right)$ type $ t $的最大运算符的不等式均表示与walsh-kaczmarz系统具有单调系数。还证明,从特殊意义上讲,这些结果是最好的。作为应用程序,指出了一些知名和新结果。特别是,我们将这些结果应用于A.E.这种$ t $表示的收敛。

In this paper we prove and discuss some new $\left( H_p,L_{p,\infty}\right)$ type inequalities of the maximal operators of $T$ means with monotone coefficients with respect to Walsh-Kaczmarz system. It is also proved that these results are the best possible in a special sense. As applications, both some well-known and new results are pointed out. In particular, we apply these results to prove a.e. convergence of such $T$ means.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源