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On the composition of Frostman Blaschke products

Tom 219 / 2013

John R. Akeroyd, Pamela Gorkin Studia Mathematica 219 (2013), 177-191 MSC: Primary 30H05, 47B38; Secondary 49J20. DOI: 10.4064/sm219-2-7

Streszczenie

We construct an infinite uniform Frostman Blaschke product $B$ such that $B\circ B$ is also a uniform Frostman Blaschke product. We also show that the set of uniform Frostman Blaschke products is open in the set of inner functions with the uniform norm.

Autorzy

  • John R. AkeroydDepartment of Mathematics
    University of Arkansas
    Fayetteville, AR 72701, U.S.A.
    e-mail
  • Pamela GorkinDepartment of Mathematics
    Bucknell University
    Lewisburg, PA 17837, U.S.A.
    e-mail

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