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Reconstruction of holomorphic and pluriharmonic functions in circular domains from their values on a torus

✍ Scribed by M. L. Agranovskii; L. A. Aizenberg

Publisher: SP MAIK Nauka/Interperiodica
Year: 1989
Tongue: English
Weight: 298 KB
Volume: 30
Category: Article
ISSN: 0037-4466
DOI: 10.1007/bf01054227

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## Abstract Let __D__ be a unit disk and__M__ be an open arc of the unit circle whose Lebesgue measure satisfies 0 < __l__ (__M__) < 2__π__. Our first result characterizes the restriction of the holomorphic functions __f__ ∈ ℋ︁(__D__), which are in the Hardy class ℋ︁^1^ near the arc__M__ and are de