Abstract

We study boundary properties of analytic functions of the Hardy and Nevanlinna classes, defined in the unit disk, with values in a Frechet space , the strong dual of a locally convex topological space . In particular, necessary and sufficient conditions are given for angular limiting values of these functions to exist almost everywhere on a subset , , of the unit circle in the topology of the space . The results obtained are used to investigate boundary properties of compact families of complex-valued holomorphic functions.Bibliography: 16 titles.

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