A remark on separate holomorphy

Marek Jarnicki; Peter Pflug

Studia Mathematica, Tome 173 (2006), p. 309-317 / Harvested from The Polish Digital Mathematics Library

Résumé

Let X be a Riemann domain over $ℂ^{k} \times ℂ^{ℓ}$ . If X is a domain of holomorphy with respect to a family ℱ ⊂(X), then there exists a pluripolar set $P \subset ℂ^{k}$ such that every slice $X_{a}$ of X with a∉ P is a region of holomorphy with respect to the family ${f |}_{X_{a}} : f \in ℱ$ .

Publié le : 2006-01-01

Zbl 1096.32005

EUDML-ID : urn:eudml:doc:284439

@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm174-3-5,
     author = {Marek Jarnicki and Peter Pflug},
     title = {A remark on separate holomorphy},
     journal = {Studia Mathematica},
     volume = {173},
     year = {2006},
     pages = {309-317},
     zbl = {1096.32005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm174-3-5}
}

Marek Jarnicki; Peter Pflug. A remark on separate holomorphy. Studia Mathematica, Tome 173 (2006) pp. 309-317. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm174-3-5/