This article is cited in 3 papers

Harmonic duality, hyperfunctions and removable singularities

E. L. Stout

University of Washington

Abstract: This article is devoted to the study of the boundary behavior of holomorphic functions on strictly pseudoconvex domains with real-analytic boundary in $\mathbb C^N$ and to the theory of removable sets for such boundary values. The work depends on some preliminary results on the boundary values of harmonic functions on domains in $\mathbb R^N$ with real-analytic boundaries and on a new result concerning the dual space of all such functions on a given domain.

MSC: 32F15

Received: 05.01.1995

Language: English

 English version: Izvestiya: Mathematics, 1995, 59:6, 1233–1272

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