1970Bulletin of the American Mathematical SocietyOpen access

Boundary values of holomorphic functions

Elias M. Stein

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Abstract

Let 2D be a bounded domain in C n with smooth boundary.We shall consider the behavior near the boundary of holomorphic functions in 2D.Our results are of two kinds: those valid without any further restriction on 3D, and those which require that 3D is strictly pseudoconvex.Detailed proofs will appear in [7].

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Let 2D be a bounded domain in C n with smooth boundary.We shall consider the behavior near the boundary of holomorphic functions in 2D.Our results are of two kinds: those valid without any further restriction on 3D, and those which require that 3D is strictly pseudoconvex.Detailed proofs will appear in [7].

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Available abstract

Let 2D be a bounded domain in C n with smooth boundary.We shall consider the behavior near the boundary of holomorphic functions in 2D.Our results are of two kinds: those valid without any further restriction on 3D, and those which require that 3D is strictly pseudoconvex.Detailed proofs will appear in [7].

Key concepts: Holomorphic function, Bounded function, Boundary (topology), Domain (mathematical analysis), Mathematics, Mathematical proof, Boundary values, Mathematical analysis

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