Abstract:
We study boundary properties of analytic functions of the Hardy and Nevanlinna classes, defined in the unit disk, with values in a Fréchet space $E'$, the strong dual of a locally convex topological space $E$. In particular, necessary and sufficient conditions are given for angular limiting values of these functions to exist almost everywhere on a subset $M$, $\operatorname{mes}M>0$, of the unit circle in the topology of the space $E'$. The results obtained are used to investigate boundary properties of compact families of complex-valued holomorphic functions.
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