Blahota, István and Tephnadze, Giorgi (2016) A note on maximal operators of Vilenkin-Nörlund means. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 32 (2). pp. 203-213. ISSN 0866-0174
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Abstract
In this paper we prove and discuss some new (Hp, Lp)-type inequalities of weighted maximal operators of Vilenkin – N¨orlund 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 – N¨orlund means with non-increasing coefficients.
| Item Type: | Article |
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| Uncontrolled Keywords: | Vilenkin systems, Vilenkin groups, Nörlund means, martingale Hardy spaces, maximal operator, Vilenkin-Fourier series, strong convergence, inequalities |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 07 Feb 2024 08:57 |
| Last Modified: | 07 Feb 2024 08:57 |
| URI: | http://real.mtak.hu/id/eprint/187742 |
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