( H p − L p ) $(H_{p}-L_{p})$ -Type inequalities for subsequences of Nörlund means of Walsh–Fourier series
Abstract We investigate the subsequence { t 2 n f } $\{t_{2^{n}}f \}$ of Nörlund means with respect to the Walsh system generated by nonincreasing and convex sequences. In particular, we prove that a large class of such summability methods are not bounded from the martingale Hardy spaces H p $H_{p}$...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-04-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-023-02955-9 |