Bounded analytic functions

@article{Nehari1950BoundedAF,
  title={Bounded analytic functions},
  author={Zeev Nehari},
  journal={Bulletin of the American Mathematical Society},
  year={1950},
  volume={57},
  pages={354-366}
}
  • Z. Nehari
  • Published 1 February 1950
  • Mathematics
  • Bulletin of the American Mathematical Society
The objective of this paper is to give an alternative derivation of results on bounded analytic functions recently obtained by Ahlfors [1] and Garabedian [2].1 While it is admitted that the main idea to be used is more in the nature of a lucky guess than of a method, it will be found that the gain in brevity and simplicity of the argument is considerable. As a by-product, we shall also obtain a number of hitherto unknown identities between various domain functions. The basic problem treated in… 
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Introduction. This paper is concerned with extremal problems in the family of bounded analytic functions in a multiply-connected domain D, and it is concerned with extremal problems for the mean
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  • Harvard University,
  • 1948
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