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INNER UNIFORM DOMAINS, THE QUASIHYPERBOLIC METRIC AND WEAK BLOCH FUNCTIONS

  • Kim, Ki-Won (Department of Mathematics Education Silla University)
  • Received : 2009.09.30
  • Published : 2012.01.31

Abstract

We characterize the class of inner uniform domains in terms of the quasihyperbolic metric and the quasihyperbolic geodesic. We also characterize uniform domains and inner uniform domains in terms of weak Bloch functions.

Keywords

References

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Cited by

  1. WEAK BLOCH FUNCTIONS, ∅-UNIFORM AND ∅-JOHN DOMAINS vol.19, pp.4, 2012, https://doi.org/10.7468/jksmeb.2012.19.4.423
  2. INNER UNIFORM DOMAINS AND THE APOLLONIAN INNER METRIC vol.50, pp.6, 2013, https://doi.org/10.4134/BKMS.2013.50.6.1873