Pluriharmonic extension in proper image domains

Rafał Czyż

Rafał Czyż

Annales Polonici Mathematici, Tome 95 (2009), p. 163-174 / Harvested from The Polish Digital Mathematics Library

Résumé

Let $D_{j}$ be a bounded hyperconvex domain in $ℂ^{n_{j}}$ and set $D = D ₁ \times \dots \times D_{s}$ , j=1,...,s, s ≥ 3. Also let $Ω_{π}$ be the image of D under the proper holomorphic map π. We characterize those continuous functions $f : \partial Ω_{π} \to ℝ$ that can be extended to a real-valued pluriharmonic function in $Ω_{π}$ .

Publié le : 2009-01-01

Zbl 1175.31007

EUDML-ID : urn:eudml:doc:280763

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     title = {Pluriharmonic extension in proper image domains},
     journal = {Annales Polonici Mathematici},
     volume = {95},
     year = {2009},
     pages = {163-174},
     zbl = {1175.31007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap96-2-4}
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Rafał Czyż. Pluriharmonic extension in proper image domains. Annales Polonici Mathematici, Tome 95 (2009) pp. 163-174. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap96-2-4/