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Global and local Goursat problems in a class of holomorphic or partially holomorphic functions

✍ Scribed by Masatake Miyake

Publisher: Elsevier Science
Year: 1981
Tongue: English
Weight: 825 KB
Volume: 39
Category: Article
ISSN: 0022-0396
DOI: 10.1016/0022-0396(81)90068-1

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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