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Interpolation properties of rational functions of best mean square approximation on a circle and in a disk

โœ Scribed by N. S. Vyacheslavov; A. K. Ramazanov

Publisher
SP MAIK Nauka/Interperiodica
Year
1995
Tongue
English
Weight
532 KB
Volume
57
Category
Article
ISSN
0001-4346

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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__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