Weisz, Ferenc (2016) Convergence of trigonometric and Walsh-Fourier series. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 32 (2). pp. 277-301. ISSN 0866-0174
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Abstract
In this paper we present some results on convergence and summability of one- and multi-dimensional trigonometric and Walsh-Fourier series. The Fej´er and Ces`aro summability methods are investigated. We will prove that the maximal operator of the summability means is bounded from the corresponding classical or martingale Hardy space Hp to Lp for some p > p0. For p = 1 we obtain a weak type inequality by interpolation, which ensures the almost everywhere convergence of the summability means.
| Item Type: | Article |
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| Uncontrolled Keywords: | atomic decomposition, interpolation, Walsh functions, trigonometric functions |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 07 Feb 2024 09:12 |
| Last Modified: | 07 Feb 2024 09:12 |
| URI: | http://real.mtak.hu/id/eprint/187745 |
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