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A note on “Quasihyperbolic boundary conditions and Poincaré domains”

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Abstract

We establish optimal Poincaré inequalities under a logarithmic growth condition on the quasihyperbolic metric.

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Acknowledgments

The authors wish to thank their advisor Professor Pekka Koskela for helpful discussions.

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Authors and Affiliations

  1. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, People’s Republic of China

    Renjin Jiang

  2. Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35 (MaD), 40014, Jyväskylä, Finland

    Renjin Jiang & Aapo Kauranen

Authors
  1. Renjin Jiang
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  2. Aapo Kauranen
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Corresponding author

Correspondence to Renjin Jiang.

Additional information

Jiang was supported by the Academy of Finland Grant 131477 and Kauranen was supported by The Finnish National Graduate School in Mathematics and its Applications.

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Jiang, R., Kauranen, A. A note on “Quasihyperbolic boundary conditions and Poincaré domains”. Math. Ann. 357, 1199–1204 (2013). https://doi.org/10.1007/s00208-013-0938-x

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  • DOI: https://doi.org/10.1007/s00208-013-0938-x

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