Abstract
The result of the note consists in the fact that the Radon—Nikodym property (see A. V. Bukhvalov, Zap. Nauchn. Sem. LOMI, Vol. 65, pp. 5–16, 1976) corresponds to the boundary behavior of functions from the vector-valued Hardy classes HP(Dn, X) and not only to those from the “one-dimensional” classes HP(D, X).
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