Continuous pluriharmonic boundary values

Per Åhag; Rafał Czyż

Per Åhag ; Rafał Czyż

Annales Polonici Mathematici, Tome 92 (2007), p. 99-117 / 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 ₙ be the symmetrized polydisc in ℂⁿ, n ≥ 3. We characterize those real-valued continuous functions defined on the boundary of D or ₙ which can be extended to the inside to a pluriharmonic function. As an application a complete characterization of the compliant functions is obtained.

Publié le : 2007-01-01

Zbl 1123.31005

EUDML-ID : urn:eudml:doc:280307

@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap91-2-1,
     author = {Per \AA hag and Rafa\l\ Czy\.z},
     title = {Continuous pluriharmonic boundary values},
     journal = {Annales Polonici Mathematici},
     volume = {92},
     year = {2007},
     pages = {99-117},
     zbl = {1123.31005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap91-2-1}
}

Per Åhag; Rafał Czyż. Continuous pluriharmonic boundary values. Annales Polonici Mathematici, Tome 92 (2007) pp. 99-117. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap91-2-1/