East Asian mathematical journal

  • 제37권1호
  • /
  • Pages.19-32
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  • 2021
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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THE BERGMAN METRIC AND RELATED BLOCH SPACES ON THE EXPONENTIALLY WEIGHTED BERGMAN SPACE

  • Byun, Jisoo (Department of Mathematics Education, Kyeung-Nam University) ;
  • Cho, Hong Rae (Department of Mathematics, Pusan National University) ;
  • Lee, Han-Wool (Department of Mathematics, Pusan National University)
  • 투고 : 2020.11.26
  • 심사 : 2021.01.15
  • 발행 : 2021.01.31
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초록

We estimate the Bergman metric of the exponentially weighted Bergman space and prove many different geometric characterizations for related Bloch spaces. In particular, we prove that the Bergman metric of the exponentially weighted Bergman space is comparable to some Poincaré type metric.

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참고문헌

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