On subextension and approximation of plurisubharmonic functions with given boundary values

Hichame Amal

Hichame Amal

Annales Polonici Mathematici, Tome 111 (2014), p. 247-258 / Harvested from The Polish Digital Mathematics Library

Résumé

Our aim in this article is the study of subextension and approximation of plurisubharmonic functions in $_{χ} (Ω, H)$ , the class of functions with finite χ-energy and given boundary values. We show that, under certain conditions, one can approximate any function in $_{χ} (Ω, H)$ by an increasing sequence of plurisubharmonic functions defined on strictly larger domains.

Publié le : 2014-01-01

Zbl 1295.32044

EUDML-ID : urn:eudml:doc:280221

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     title = {On subextension and approximation of plurisubharmonic functions with given boundary values},
     journal = {Annales Polonici Mathematici},
     volume = {111},
     year = {2014},
     pages = {247-258},
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     language = {en},
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Hichame Amal. On subextension and approximation of plurisubharmonic functions with given boundary values. Annales Polonici Mathematici, Tome 111 (2014) pp. 247-258. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap110-3-3/