Inner functions in Cn |
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Authors: | A Sadullaev |
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Institution: | (1) Tashkent University, USSR |
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Abstract: | In this paper we prove that if f is a holomorphic function in a strictly pseudoconvex region D in Cn, n > 1, with radial limit equal to 1 in modulus at each point of some nonempty open subset S of the boundary of D, then f const in D.Translated from Matematicheskii Zametki, Vol. 19, No. 1, pp. 63–66, January, 1976.I wish to thank B. V. Shabat for a discussion of the result and for critical remarks. |
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