关于Walsh-Kaczmarz系统的$T$平均的极大算子
On the maximal operators of $T$ means with respect to Walsh-Kaczmarz system
摘要：
本文证明并讨论了Walsh-Kaczmarz系统中单调系数$T$平均极大算子的几个新的$\left( H_p,L_{p,\infty}\right)$型不等式.并证明了这些结果在特殊意义下是最好的。作为应用，给出了一些著名的和新的结果。特别地，我们应用这些结果来证明a.e.这种$T$装置的收敛。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
