Sharp Estimates for Conjugate Functions with Applications to Trigonometric Polynomials
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914577453678592 |
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| author | Brazitikos, Silouanos |
| author_facet | Brazitikos, Silouanos |
| contents | We prove a sharp estimate for conjugate functions using a harmonic majorant in a half-strip. As an application, we remove the logarithmic loss from a theorem of Papadopoulos on minima of trigonometric polynomials and obtain the optimal order in the corresponding inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_18087 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Sharp Estimates for Conjugate Functions with Applications to Trigonometric Polynomials Brazitikos, Silouanos Classical Analysis and ODEs Primary: 42A05, 42A50. Secondary: 30H10, 31A05, 42A16 We prove a sharp estimate for conjugate functions using a harmonic majorant in a half-strip. As an application, we remove the logarithmic loss from a theorem of Papadopoulos on minima of trigonometric polynomials and obtain the optimal order in the corresponding inequality. |
| title | Sharp Estimates for Conjugate Functions with Applications to Trigonometric Polynomials |
| topic | Classical Analysis and ODEs Primary: 42A05, 42A50. Secondary: 30H10, 31A05, 42A16 |
| url | https://arxiv.org/abs/2605.18087 |