Darstellung skalarer und vektorwertiger Distributionen aus D′Lp durch Randwerte holomorpher Funktionen
Identifieur interne : 003647 ( Main/Exploration ); précédent : 003646; suivant : 003648Darstellung skalarer und vektorwertiger Distributionen aus D′Lp durch Randwerte holomorpher Funktionen
Auteurs : Gunter BengelSource :
- manuscripta mathematica [ 0025-2611 ] ; 1974-03-01.
Abstract
Abstract: In the present paper we show that every distribution T in D′Lp (D′Lp(E) in the vector-valued case) has a representation as boundary value of a holomorphic function T (with values in E). This problem was considered in [1], [5], [12]. The representing functions are characterized by growth conditions. It is shown that the conditions in [1] and [5] don't extend to the vector-valued case while the conditions in [12] do.
Url:
DOI: 10.1007/BF01168739
Affiliations:
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