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On the Wu metric in unbounded domains

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Abstract.

We discuss the properties of the Wu pseudometric and present counterexamples for its upper semicontinuity that answers the question posed by Jarnicki and Pflug. We also give formulae for the Wu pseudometric in elementary Reinhardt domains.

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Authors and Affiliations

  1. Institute of Mathematics, Jagiellonian University, Reymonta 4, PL-30–059, Kraków, Poland

    Piotr Jucha

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  1. Piotr Jucha
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Correspondence to Piotr Jucha.

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The work is supported by the Research Grant No. 1 PO3A 005 28 of the Polish Ministry of Science and Higher Education.

Received: 12 September 2007

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Jucha, P. On the Wu metric in unbounded domains. Arch. Math. 90, 559–571 (2008). https://doi.org/10.1007/s00013-008-2581-4

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  • DOI: https://doi.org/10.1007/s00013-008-2581-4

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