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On the analytic functions

Published 8 Apr 2022 in math.CV | (2204.05081v3)

Abstract: Let $\Omega$ be a connected bounded domain on the complex plane, $S$ be its boundary, which is closed, star-shaped, $C1$-smooth, and $H(\Omega)$ is the set of analytic (holomorphic) in $\Omega$ functions. The aim of this paper is to prove that an arbitrary $f\in L1(S)$, satisfying the condition $\int_Sf(s)ds=0$, can be boundary value of an $f\in H(\Omega)$.

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Authors (1)

  1. Alexander G. Ramm 

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