• 제목/요약/키워드: sub-averaging property

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Another Look at Average Formulas of Nevanlinna Counting Functions of Holomorphic Self-maps of the Unit Disk

  • Kim, Hong-Oh
    • Kyungpook Mathematical Journal
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    • 제48권1호
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    • pp.155-163
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    • 2008
  • This is an extended version of the paper [K] of the author. The average formulas on the circles and disks around arbitrary points of Nevanlinna counting functions of holomorphic self-maps of the unit disk, given in terms of the boundary values of the selfmaps, are shown to give another characterization of the whole class or a special subclass of inner functions in terms of Nevanlinna counting function in addition to the previous applications to Rudin's orthogonal functions.