TL;DR
This paper investigates the properties of the Wu pseudometric in unbounded domains, providing counterexamples to its upper semicontinuity and deriving formulas for elementary Reinhardt domains.
Contribution
It offers new insights into the behavior of the Wu pseudometric, including counterexamples and explicit formulas in specific domains.
Findings
Counterexamples to upper semicontinuity of Wu pseudometric
Formulas for Wu pseudometric in elementary Reinhardt domains
Enhanced understanding of Wu metric properties in unbounded domains
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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