Proceedings of the American Mathematical Society

Author(s): Kentaro Hirata
Journal: Proc. Amer. Math. Soc. 133 (2005), 2309-2317.
MSC (2000): Primary 31B25, 31A20, 32A40
Posted: March 14, 2005
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 31B25, 31A20, 32A40

Kentaro Hirata
Affiliation: Department of Mathematics, Shimane University, Matsue 690-8504, Japan
Email: hirata@math.shimane-u.ac.jp

DOI: 10.1090/S0002-9939-05-08020-2
PII: S 0002-9939(05)08020-2
Keywords: Poisson-Szeg\"o integral, Kor\'anyi's approach region, boundary behavior
Received by editor(s): September 17, 2003
Posted: March 14, 2005
Communicated by: Andreas Seeger
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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