Boundary behaviour of holomorphic functions in Hardy-Sobolev spaces on convex domains in ℂⁿ
Marco M. Peloso ; Hercule Valencourt
Colloquium Mathematicae, Tome 120 (2010), p. 649-668 / Harvested from The Polish Digital Mathematics Library
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We study the boundary behaviour of holomorphic functions in the Hardy-Sobolev spaces ℋp,k(), where is a smooth, bounded convex domain of finite type in ℂⁿ, by describing the approach regions for such functions. In particular, we extend a phenomenon first discovered by Nagel-Rudin and Shapiro in the case of the unit disk, and later extended by Sueiro to the case of strongly pseudoconvex domains.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:286417 
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     year = {2010},
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Marco M. Peloso; Hercule Valencourt. Boundary behaviour of holomorphic functions in Hardy-Sobolev spaces on convex domains in ℂⁿ. Colloquium Mathematicae, Tome 120 (2010) pp. 649-668. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm118-2-18/