Vilenkin-Fourier series in variable Lebesgue spaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866916617938534400 |
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| author | Adamadze, Daviti Kopaliani, Tengiz |
| author_facet | Adamadze, Daviti Kopaliani, Tengiz |
| contents | Let $S_{n}f$ denote the $n$th partial sum of the Vilenkin-Fourier series of a function $f \in L^{1}(G)$. For $1 < p_{-} \leq p_{+} < \infty$, we characterize all exponents $p(\cdot)$ for which the convergence of $S_{n}f$ to $f$ in $L^{p(\cdot)}(G)$ holds whenever $f \in L^{p(\cdot)}(G)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_11331 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Vilenkin-Fourier series in variable Lebesgue spaces Adamadze, Daviti Kopaliani, Tengiz Functional Analysis Let $S_{n}f$ denote the $n$th partial sum of the Vilenkin-Fourier series of a function $f \in L^{1}(G)$. For $1 < p_{-} \leq p_{+} < \infty$, we characterize all exponents $p(\cdot)$ for which the convergence of $S_{n}f$ to $f$ in $L^{p(\cdot)}(G)$ holds whenever $f \in L^{p(\cdot)}(G)$. |
| title | Vilenkin-Fourier series in variable Lebesgue spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2210.11331 |