Completeness of the inner $k$th Reiffen pseudometric
Volume 79 / 2002
Annales Polonici Mathematici 79 (2002), 277-288
MSC: Primary 32F45.
DOI: 10.4064/ap79-3-5
Abstract
We give an example of a Zalcman-type domain in ${{\mathbb C}}$ which is complete with respect to the integrated form of the $(k+1)$st Reiffen pseudometric, but not complete with respect to the $k$th one.