A remark on separate holomorphy

Marek Jarnicki; Peter Pflug

Studia Mathematica (2006)

  • Volume: 174, Issue: 3, page 309-317
  • ISSN: 0039-3223

Abstract

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Let X be a Riemann domain over k × . If X is a domain of holomorphy with respect to a family ℱ ⊂(X), then there exists a pluripolar set P k such that every slice X a of X with a∉ P is a region of holomorphy with respect to the family f | X a : f .

How to cite

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Marek Jarnicki, and Peter Pflug. "A remark on separate holomorphy." Studia Mathematica 174.3 (2006): 309-317. <http://eudml.org/doc/284439>.

@article{MarekJarnicki2006,
abstract = {Let X be a Riemann domain over $ℂ^\{k\} × ℂ^\{ℓ\}$. If X is a domain of holomorphy with respect to a family ℱ ⊂(X), then there exists a pluripolar set $P ⊂ ℂ^\{k\}$ such that every slice $X_\{a\}$ of X with a∉ P is a region of holomorphy with respect to the family $\{f|_\{X_\{a\}\}: f ∈ ℱ\}$.},
author = {Marek Jarnicki, Peter Pflug},
journal = {Studia Mathematica},
language = {eng},
number = {3},
pages = {309-317},
title = {A remark on separate holomorphy},
url = {http://eudml.org/doc/284439},
volume = {174},
year = {2006},
}

TY - JOUR
AU - Marek Jarnicki
AU - Peter Pflug
TI - A remark on separate holomorphy
JO - Studia Mathematica
PY - 2006
VL - 174
IS - 3
SP - 309
EP - 317
AB - Let X be a Riemann domain over $ℂ^{k} × ℂ^{ℓ}$. If X is a domain of holomorphy with respect to a family ℱ ⊂(X), then there exists a pluripolar set $P ⊂ ℂ^{k}$ such that every slice $X_{a}$ of X with a∉ P is a region of holomorphy with respect to the family ${f|_{X_{a}}: f ∈ ℱ}$.
LA - eng
UR - http://eudml.org/doc/284439
ER -

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