关于Vilenkin-傅里叶级数的Nörlund平均
On the Nörlund means of Vilenkin-Fourier series
摘要：
本文证明并讨论了非增系数Vilenkin-Nörlund平均加权极大算子的几个新的$\left( H_{p},L_{p}\right)$型不等式.这些结果在特殊意义上是最好的。作为应用，给出了非增系数Vilenkin-Nörlund平均强收敛理论中的一些著名结果和新结果.
英文摘要：
In this paper we prove and discuss some new $\left( H_{p},L_{p}\right)$-type inequalities of weighted maximal operators of Vilenkin-Nörlund means with non-increasing coefficients. These results are the best possible in a special sense. As applications, both some well-known and new results are pointed out in the theory of strong convergence of Vilenkin-Nörlund means with non-increasing coefficients.
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。
