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- W4323323100 abstract "We investigate the subsequence ${t_{2^n}f }$ of N{o}rlund means with respect to the Walsh system generated by non-increasing and convex sequences. In particular, we prove that a big class of such summability methods are not bounded from the martingale Hardy spaces $H_p$ to the space $weak-L_p $ for $0<p<1/(1+alpha) $, where $0<alpha<1$. Moreover, some new related inequalities are derived. As application, some well-known and new results are pointed out for well-known summability methods, especially for N{o}rlund logarithmic means and Ces`aro means." @default.
- W4323323100 created "2023-03-07" @default.
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- W4323323100 date "2023-03-03" @default.
- W4323323100 modified "2023-10-18" @default.
- W4323323100 title "$(H_p-L_p)$ type inequalities for subsequences of Norlund means of Walsh-Fourier series" @default.
- W4323323100 doi "https://doi.org/10.48550/arxiv.2303.01846" @default.
- W4323323100 hasPublicationYear "2023" @default.
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