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Zapiski Nauchnykh Seminarov LOMI, 1985, Volume 141, Pages 149–153
(Mi znsl4183)
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A constructive proof of the Chang-Marshall theorem
A. L. Vol'berg
Abstract:
In the paper one gives constructive proofs (without the use of the space of maximal ideals of the algebra $H^{\infty}$) of the Marshall-Chang theorem and of a theorem of T. H. Wolff. These theorems are proved in the paper in a unique manner with the use of a lemma which connects the level lines of a positive harmonic function in a circle with the level lines of the inner function.
Citation:
A. L. Vol'berg, “A constructive proof of the Chang-Marshall theorem”, Investigations on linear operators and function theory. Part XIV, Zap. Nauchn. Sem. LOMI, 141, "Nauka", Leningrad. Otdel., Leningrad, 1985, 149–153; J. Soviet Math., 37:5 (1987), 1350–1352
Linking options:
https://www.mathnet.ru/eng/znsl4183 https://www.mathnet.ru/eng/znsl/v141/p149
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Abstract page: | 133 | Full-text PDF : | 50 |
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