Sharpness of the Korányi approach region

Hirata, Kentaro

doi:10.1090/S0002-9939-05-08020-2

Sharpness of the Korányi approach region
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Proc. Amer. Math. Soc. 133 (2005), 2309-2317 Request permission

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).

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