East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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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)
  • Received : 2020.11.26
  • Accepted : 2021.01.15
  • Published : 2021.01.31
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Abstract

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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References

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