Sharp Estimates for Conjugate Functions with Applications to Trigonometric Polynomials
Classical Analysis and ODEs
2026-05-19 v1
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.
Cite
@article{arxiv.2605.18087,
title = {Sharp Estimates for Conjugate Functions with Applications to Trigonometric Polynomials},
author = {Silouanos Brazitikos},
journal= {arXiv preprint arXiv:2605.18087},
year = {2026}
}