Some new restricted maximal operators of Fej\'er means of Walsh-Fourier series in the space $H_{1/2}$
| Autor: | Baramidze, Davit, Persson, Lars-Erik, Tephnadze, George |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this paper we derive the maximal subspace of natural numbers $\left\{n_{k}:k\geq 0\right\}$, such that the restricted maximal operator, defined by $\sup_{k\in \mathbb{N}}\left\vert \sigma_{n_{k}}F \right\vert$ on this subspace of Fej\'er means of Walsh-Fourier series is bounded from the martingale Hardy space $H_{1/2}$ to the Lebesgue space $L_{1/2}$. The sharpness of this result is also proved. Comment: arXiv admin note: substantial text overlap with arXiv:2302.12302 |
| Databáze: | arXiv |
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