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Lipschitz continuity of holomorphic mappings with respect to Bergman metric

Complex Variables 2017-03-30 v1

Abstract

n this paper, we establish the sharp estimate of the Lipschitz continuity with respect to the Bergman metric. The obtained results are the improvement and generalization of the corresponding results of Ghatage, Yan and Zheng (Proc. Amer. Math. Soc., 129: 2039-2044, 2000).

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Cite

@article{arxiv.1703.09898,
  title  = {Lipschitz continuity of holomorphic mappings with respect to Bergman metric},
  author = {Shaolin Chen and David Kalaj},
  journal= {arXiv preprint arXiv:1703.09898},
  year   = {2017}
}

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8 pages