On n-circled ℋ ∞ -domains of holomorphy

Marek Jarnicki; Peter Pflug

Annales Polonici Mathematici (1997)

  • Volume: 65, Issue: 3, page 253-264
  • ISSN: 0066-2216

Abstract

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We present various characterizations of n-circled domains of holomorphy G ⊂ ℂ n with respect to some subspaces of ℋ ∞ ( G ) .

How to cite

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Marek Jarnicki, and Peter Pflug. "On n-circled $ℋ^{∞}$-domains of holomorphy." Annales Polonici Mathematici 65.3 (1997): 253-264. <http://eudml.org/doc/269976>.

@article{MarekJarnicki1997,
abstract = {We present various characterizations of n-circled domains of holomorphy $G ⊂ ℂ^n$ with respect to some subspaces of $ℋ^∞(G)$.},
author = {Marek Jarnicki, Peter Pflug},
journal = {Annales Polonici Mathematici},
keywords = {n-circled domain of holomorphy; -circled domains of holomorphy},
language = {eng},
number = {3},
pages = {253-264},
title = {On n-circled $ℋ^\{∞\}$-domains of holomorphy},
url = {http://eudml.org/doc/269976},
volume = {65},
year = {1997},
}

TY - JOUR
AU - Marek Jarnicki
AU - Peter Pflug
TI - On n-circled $ℋ^{∞}$-domains of holomorphy
JO - Annales Polonici Mathematici
PY - 1997
VL - 65
IS - 3
SP - 253
EP - 264
AB - We present various characterizations of n-circled domains of holomorphy $G ⊂ ℂ^n$ with respect to some subspaces of $ℋ^∞(G)$.
LA - eng
KW - n-circled domain of holomorphy; -circled domains of holomorphy
UR - http://eudml.org/doc/269976
ER -

References

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  1. [Fer] J.-P. Ferrier, Spectral Theory and Complex Analysis, North-Holland, Amsterdam, 1973. 
  2. [Fu] S. Fu, On completeness of invariant metrics of Reinhardt domains, Arch. Math. (Basel) 63 (1994), 166-172. Zbl0815.32001
  3. [Jar-Pfl 1] M. Jarnicki and P. Pflug, Existence domains of holomorphic functions of restricted growth, Trans. Amer. Math. Soc. 304 (1987), 385-404. 
  4. [Jar-Pfl 2] M. Jarnicki and P. Pflug, On balanced L²-domains of holomorphy, Ann. Polon. Math. 63 (1996), 101-102. 
  5. [Pfl] P. Pflug, Über polynomiale Funktionen auf Holomorphiegebieten, Math. Z. 139 (1974), 133-139. Zbl0287.32011
  6. [Sib] N. Sibony, Prolongement de fonctions holomorphes bornées et métrique de Carathéodory, Invent. Math. 29 (1975), 205-230. Zbl0333.32011
  7. [Sic 1] J. Siciak, Circled domains of holomorphy of type ℋ ∞ , Bull. Soc. Sci. Lett. Łódź 34 (1984), 1-20. Zbl0579.32015
  8. [Sic 2] J. Siciak, Balanced domains of holomorphy of type H ∞ , Mat. Vesnik 37 (1985), 134-144. Zbl0575.32009

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