Sharp estimate for conjugate functions via harmonic majorant in half-strip, applied to remove logarithmic loss and obtain optimal order in bounds for minima of trigonometric polynomials.
Bourgain,Sur le minimum d’une somme de cosinus, Acta Arith.45(1986), 381–389
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Sharp Estimates for Conjugate Functions with Applications to Trigonometric Polynomials
Sharp estimate for conjugate functions via harmonic majorant in half-strip, applied to remove logarithmic loss and obtain optimal order in bounds for minima of trigonometric polynomials.