Vilenkin-Nörlund平均的极大算子
Maximal operators of Vilenkin-Nörlund means
摘要：
本文证明并讨论了单调系数Vilenkin-Nörlund平均极大算子的几个新的$\left(H_{p},weak-L_{p}\right) $型不等式.我们还应用这些结果证明了a.e.这种Vilenkin-Nörlund方法的收敛性。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。
英文摘要：
In this paper we prove and discuss some new $\left(H_{p},weak-L_{p}\right) $ type inequalities of maximal operators of Vilenkin-Nörlund means with monotone coefficients. We also apply these results to prove a.e. convergence of such Vilenkin-Nörlund means. 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.
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。
