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Characterizations of some domains via Carathéodory extremals

Published 25 Feb 2018 in math.CV | (1802.09067v2)

Abstract: In this paper we characterize the unit disc, the bidisc and the symmetrized bidisc [ G ={(z+w,zw):|z|<1,\ |w|<1} ] in terms of the possession of small classes of analytic maps into the unit disc that suffice to solve all Carath\'eodory extremal problems in the domain.

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Authors (3)

  1. J. Agler 
  2. Z. A. Lykova 
  3. N. J. Young 

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