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Sharpness of the Korányi approach region
Authors:Kentaro Hirata
Institution:Department of Mathematics, Shimane University, Matsue 690-8504, Japan
Abstract:We prove a Littlewood-type theorem which shows the sharpness of the Korányi approach region for the boundary behavior of Poisson-Szegö integrals on the unit ball of $\mathbb{C} ^n$. Our result is stronger than Hakim and Sibony (1983).

Keywords:Poisson-Szeg\"o integral  Kor\'anyi's approach region  boundary behavior
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