This article is cited in 2 papers

On the theorems of Beurling, Carleson and Tsuji on exceptional sets

V. I. Gavrilov


Abstract: This paper consists of two parts. In the first part, a general theorem is proved on the behavior along chords of functions defined on the unit disk, and this theorem is applied to continuous functions of bounded type. In the second part, boundary uniqueness theorems are proved for functions meromorphic in the unit disk.
Bibliography: 12 titles.

UDC: 517.535.6

MSC: Primary 30A72; Secondary 30A44

Received: 07.07.1972

 English version: Mathematics of the USSR-Sbornik, 1974, 23:1, 1–12

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