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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1985 Volume 141, Pages 149–153 (Mi znsl4183)

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.

UDC: 517.5


 English version:
Journal of Soviet Mathematics, 1987, 37:5, 1350–1352

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