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arXiv · 2605.18087

Sharp Estimates for Conjugate Functions with Applications to Trigonometric Polynomials

Silouanos Brazitikos
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Abstract

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.

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Silouanos Brazitikos. 2026-05-18. Sharp Estimates for Conjugate Functions with Applications to Trigonometric Polynomials. https://arxiv.org/abs/2605.18087

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