ON SOME METRIC PROPERTIES OF THE BOUNDARY VALUES OF FUNCTIONS THAT ARE ANALYTIC IN A HALF-PLANE

DOI10.1070/IM1985v025n01ABEH001262zbMath0579.44003OpenAlexW1968440207MaRDI QIDQ3701935

N. V. Govorov, S. P. Grushevskij

Publication date: 1985

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1985v025n01abeh001262

zbMATH Keywords

Hilbert transformintegralKolmogorov's inequalityangular boundary functionCauchy-Stieltjes

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Boundary value problems in the complex plane (30E25) Conjugate functions, conjugate series, singular integrals (42A50)

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Distribution of the logarithmic derivative of a rational function on the line ⋮ Metric property of a real polynomial

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