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On the coefficients of a class of functions, regular in a disk and having an integral representation in it

✍ Scribed by E. G. Goluzina

Publisher
Springer US
Year
1974
Tongue
English
Weight
471 KB
Volume
2
Category
Article
ISSN
1573-8795

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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__Ο€__. 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