论文标题
Nörlund对数赛序列的nörlund对数手段的一些新结果
Some new results for subsequences of Nörlund logarithmic means of Walsh-Fourier series
论文作者
论文摘要
我们证明，h_p $中存在一个martingale $ f \，使得nörlundboolgarithmic oblegarithmic Menthmic of walsh System在lebesgue Space $弱l_p $ for $ 0 <p <p <p <p <p <p <p <p <p <p <p <p <1 $，此外，我们证明，对于l_p（g）中的任何$ f \，$ $ p \ geq 1，$ $ l_ {2^n} f $在任何lebesgue point $ x $上收集到$ f $。得出了一些新的相关不平等现象。
We prove that there exists a martingale $f\in H_p $ such that the subsequence $\{L_{2^n}f \}$ of Nörlund logarithmic means with respect to the Walsh system are not bounded in the Lebesgue space $weak-L_p $ for $0<p<1 $. Moreover, we prove that for any $f\in L_p(G),$ $p\geq 1, $ $L_{2^n}f$ converge to $f$ at any Lebesgue point $x$. Some new related inequalities are derived.
