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

โœ 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

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On a class of holomorphic functions repr
โœ Lev Aizenberg; Alekos Vidras ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 218 KB ๐Ÿ‘ 1 views

## 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__ฯ€__. Our first result characterizes the restriction of the holomorphic functions __f__ โˆˆ โ„‹๏ธ(__D__), which are in the Hardy class โ„‹๏ธ^1^ near the arc__M__ and are de