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math.CVOct 31, 2015
20
citations (OpenAlex)
authors
  • Nikolai Nikolov
  • Lyubomir Andreev
institutions
  • Bulgarian Academy of Sciences
  • Institute of Mathematics and Informatics
  • University of Library Studies and Information Technologies
arXiv abstractPDF
paper

Estimates of the Kobayashi and quasi-hyperbolic distances

arXiv:1510.01571 · doi:10.1007/s10231-016-0561-z

Abstract

Universal upper bounds for the Kobayashi and quasi-hyperbolic distances near Dini-smooth boundary points of domains in $\C^n$ and Rn, respectively, are obtained.

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  • Strongly Goldilocks Domains, quantitative Visibility, and Applications
  • Strong localizations of the Kobayashi distance
  • Local continuous extension of proper holomorphic maps: low-regularity and infinite-type boundaries
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