非减系数Vilenkin-Nörlund平均极大算子的若干新的$\left(H_{p},L_{p}\right)$型不等式
Some new $\left(H_{p},L_{p}\right)$ type inequalities of maximal operators of Vilenkin-Nörlund means with non-decreasing coefficients
摘要：
本文证明并讨论了非减系数Vilenkin-Nörlund平均极大算子的几个新的$\left(H_{p},L_{p}\right)$型不等式.我们也应用这些不等式证明了这样的Vilenkin-Nörlund手段的强收敛定理。这些不等式在特殊意义上是最好的可能。作为应用，给出了一些著名的和新的结果。
英文摘要：
In this paper we prove and discuss some new $\left(H_{p},L_{p}\right)$ type inequalities of maximal operators of Vilenkin-Nörlund means with non-decreasing coefficients. We also apply these inequalities to prove strong convergence theorems of such Vilenkin-Nörlund means. These inequalities are the best possible in a special sense. As applications, both some well-known and new results are pointed out.
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。
