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Hardy Space Properties of the Cauchy Kernel Function for a Strictly Convex Planar Domain

Espinosa Lucio, Belen2017

… $C^2$ in $\mathbb{C}^N$, the Henkin-Ram\'irez Kernel Function belongs to the Smirnov class, $E^q(D)$, for every $q\in(0,N)$.</p> <p>The main objective of this dissertation is to show an analogous result for the Cauchy Kernel Function and for any strictly convex bounded domain in the complex …

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Non-Analytic Functions of a Complex Variable Representable by Lebasque-Stieltjes Integrals With a Cauchy Kernel

Wray, Joe W.University of Illinois at Urbana-Champaign1952

uiuc Repository record for Non-Analytic Functions of a Complex Variable Representable by Lebasque-Stieltjes Integrals With a Cauchy Kernel (opens in a new tab)