Completeness of the inner kth Reiffen pseudometric

Paweł Zapałowski

Annales Polonici Mathematici (2002)

  • Volume: 79, Issue: 3, page 277-288
  • ISSN: 0066-2216

Abstract

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We give an example of a Zalcman-type domain in ℂ which is complete with respect to the integrated form of the (k+1)st Reiffen pseudometric, but not complete with respect to the kth one.

How to cite

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Paweł Zapałowski. "Completeness of the inner kth Reiffen pseudometric." Annales Polonici Mathematici 79.3 (2002): 277-288. <http://eudml.org/doc/280941>.

@article{PawełZapałowski2002,
abstract = {We give an example of a Zalcman-type domain in ℂ which is complete with respect to the integrated form of the (k+1)st Reiffen pseudometric, but not complete with respect to the kth one.},
author = {Paweł Zapałowski},
journal = {Annales Polonici Mathematici},
keywords = {completeness; th Carathéodory-Reiffen pseudometric; inner th Carathéodory-Reiffen pseudometric},
language = {eng},
number = {3},
pages = {277-288},
title = {Completeness of the inner kth Reiffen pseudometric},
url = {http://eudml.org/doc/280941},
volume = {79},
year = {2002},
}

TY - JOUR
AU - Paweł Zapałowski
TI - Completeness of the inner kth Reiffen pseudometric
JO - Annales Polonici Mathematici
PY - 2002
VL - 79
IS - 3
SP - 277
EP - 288
AB - We give an example of a Zalcman-type domain in ℂ which is complete with respect to the integrated form of the (k+1)st Reiffen pseudometric, but not complete with respect to the kth one.
LA - eng
KW - completeness; th Carathéodory-Reiffen pseudometric; inner th Carathéodory-Reiffen pseudometric
UR - http://eudml.org/doc/280941
ER -

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