Inner -th Carathéodory-Reiffen completeness of Reinhardt domains
- Volume: 15, Issue: 2, page 87-92
- ISSN: 1120-6330
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topZapałowski, Paweł. "Inner $k$-th Carathéodory-Reiffen completeness of Reinhardt domains." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 15.2 (2004): 87-92. <http://eudml.org/doc/252387>.
@article{Zapałowski2004,
abstract = {A description of bounded pseudoconvex Reinhardt domains, which are complete with respect to the inner $k$-th Carathéodory-Reiffen distance, is given.},
author = {Zapałowski, Paweł},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Completeness; Inner $k$
k
-th Carathéodory-Reiffen distance; Pseudoconvex Reinhardt domain; completeness; inner -th Carathéodory-Reiffen distance; pseudoconvex Reinhardt domain},
language = {eng},
month = {6},
number = {2},
pages = {87-92},
publisher = {Accademia Nazionale dei Lincei},
title = {Inner $k$-th Carathéodory-Reiffen completeness of Reinhardt domains},
url = {http://eudml.org/doc/252387},
volume = {15},
year = {2004},
}
TY - JOUR
AU - Zapałowski, Paweł
TI - Inner $k$-th Carathéodory-Reiffen completeness of Reinhardt domains
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 2004/6//
PB - Accademia Nazionale dei Lincei
VL - 15
IS - 2
SP - 87
EP - 92
AB - A description of bounded pseudoconvex Reinhardt domains, which are complete with respect to the inner $k$-th Carathéodory-Reiffen distance, is given.
LA - eng
KW - Completeness; Inner $k$
k
-th Carathéodory-Reiffen distance; Pseudoconvex Reinhardt domain; completeness; inner -th Carathéodory-Reiffen distance; pseudoconvex Reinhardt domain
UR - http://eudml.org/doc/252387
ER -
References
top- FU, S., On completeness of invariant metrics of Reinhardt domains. Arch. Math., 63, 1994, 166-172. Zbl0815.32001MR1289299DOI10.1007/BF01189891
- JARNICKI, M. - PFLUG, P., Invariant Distances and Metrics in Complex Analysis. de Gruyter Expositions Math.9, Berlin1993. Zbl0789.32001MR1242120DOI10.1515/9783110870312
- PFLUG, P., About the Carathéodory completeness of all Reinhardt domains. In: G. ZAPATA (ed.), Functional Analysis, Holomorphy and Approximation Theory II. North-Holland, Amsterdam1984, 331-337. Zbl0536.32001MR771335DOI10.1016/S0304-0208(08)70835-1
- ZWONEK, W., On Carathéodory completeness of pseudoconvex Reinhardt domains. Proc. Amer. Math. Soc., 128(3), 2000, 857-864. Zbl0939.32025MR1646214DOI10.1090/S0002-9939-99-05226-0
- ZWONEK, W., Inner Carathéodory completeness of Reinhardt domains. Rend. Mat. Acc. Lincei, s. 9, v. 12, 2001, 153-157. Zbl1072.32017MR1898456
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