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On the set of values assumed by holomorphic functions near essential singularities

โœ Scribed by F. Bagemihl

Publisher
Springer-Verlag
Year
1957
Tongue
French
Weight
102 KB
Volume
67
Category
Article
ISSN
0025-5874

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๐Ÿ“œ SIMILAR VOLUMES

On a class of holomorphic functions repr
On a class of holomorphic functions representable by Carleman formulas in the disk from their values on the arc of the circle
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