On balanced L²-domains of holomorphy

Marek Jarnicki; Peter Pflug

Annales Polonici Mathematici (1996)

  • Volume: 63, Issue: 1, page 101-102
  • ISSN: 0066-2216

Abstract

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We show that any bounded balanced domain of holomorphy is an L ² h -domain of holomorphy.

How to cite

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Marek Jarnicki, and Peter Pflug. "On balanced L²-domains of holomorphy." Annales Polonici Mathematici 63.1 (1996): 101-102. <http://eudml.org/doc/262711>.

@article{MarekJarnicki1996,
abstract = {We show that any bounded balanced domain of holomorphy is an $L²_h$-domain of holomorphy.},
author = {Marek Jarnicki, Peter Pflug},
journal = {Annales Polonici Mathematici},
keywords = {balanced domain of holomorphy; L²-holomorphic function; balanced -domains of holomorphy},
language = {eng},
number = {1},
pages = {101-102},
title = {On balanced L²-domains of holomorphy},
url = {http://eudml.org/doc/262711},
volume = {63},
year = {1996},
}

TY - JOUR
AU - Marek Jarnicki
AU - Peter Pflug
TI - On balanced L²-domains of holomorphy
JO - Annales Polonici Mathematici
PY - 1996
VL - 63
IS - 1
SP - 101
EP - 102
AB - We show that any bounded balanced domain of holomorphy is an $L²_h$-domain of holomorphy.
LA - eng
KW - balanced domain of holomorphy; L²-holomorphic function; balanced -domains of holomorphy
UR - http://eudml.org/doc/262711
ER -

References

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  1. [Jar-Pfl] M. Jarnicki and P. Pflug, Existence domains of holomorphic functions of restricted growth, Trans. Amer. Math. Soc. 304 (1987), 385-404. 
  2. [Ohs-Tak] T. Ohsawa and K. Takegoshi, On the extension of L²-holomorphic functions, Math. Z. 195 (1987), 197-204. Zbl0625.32011
  3. [Pfl] P. Pflug, Quadratintegrable holomorphe Funktionen und die Serre Vermutung, Math. Ann. 216 (1975), 285-288. Zbl0294.32009
  4. [Sic] J. Siciak, Balanced domains of holomorphy of type H , Mat. Vesnik 37 (1985), 134-144. Zbl0575.32009

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