Improved Stein inequalities for the Fourier transform
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913579385487360 |
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| author | Nursultanov, Erlan D. Suragan, Durvudkhan |
| author_facet | Nursultanov, Erlan D. Suragan, Durvudkhan |
| contents | In this paper, we present a refined version of the (classical) Stein inequality for the Fourier transform, elevating it to a new level of accuracy. Furthermore, we establish extended analogues of a more precise version of the Stein inequality for the Fourier transform, broadening its applicability from the range $1<p<2$ to $2\leq p<\infty$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_08180 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Improved Stein inequalities for the Fourier transform Nursultanov, Erlan D. Suragan, Durvudkhan Functional Analysis In this paper, we present a refined version of the (classical) Stein inequality for the Fourier transform, elevating it to a new level of accuracy. Furthermore, we establish extended analogues of a more precise version of the Stein inequality for the Fourier transform, broadening its applicability from the range $1<p<2$ to $2\leq p<\infty$. |
| title | Improved Stein inequalities for the Fourier transform |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2305.08180 |