On $L_p$-integrability of functions with general monotone Fourier coefficients
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914096328212480 |
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| author | Mukanov, Askhat Nursultanov, Erlan |
| author_facet | Mukanov, Askhat Nursultanov, Erlan |
| contents | We introduce new classes of general monotone sequences and study their properties. For functions whose Fourier coefficients belong to these classes, we establish Hardy-Littlewood-type theorems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_14458 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On $L_p$-integrability of functions with general monotone Fourier coefficients Mukanov, Askhat Nursultanov, Erlan Classical Analysis and ODEs 42A16, 42A32 We introduce new classes of general monotone sequences and study their properties. For functions whose Fourier coefficients belong to these classes, we establish Hardy-Littlewood-type theorems. |
| title | On $L_p$-integrability of functions with general monotone Fourier coefficients |
| topic | Classical Analysis and ODEs 42A16, 42A32 |
| url | https://arxiv.org/abs/2510.14458 |