No CrossRef data available.
Article contents
Admissible limits of bloch functions on bounded strongly pseudoconvex domains
Published online by Cambridge University Press: 17 April 2009
Abstract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Let be a bounded strongly pseudoconvex domain with C2 boundary . In this paper we prove that for a Bloch function in the existance of radial limits at almost all implies the existence of admissible limits almost everywhere on .
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1996
References
REFERENCES
[1]Stein, E.M., Boundary behavior of holomorphic functions of several complex variables (Princeton University Press, Princeton, NJ, 1972).Google Scholar
[2]Ullrich, D.C., ‘A Bloch function in the ball with no radial limits’, Bull. London Math. Soc. 20 (1988), 337–341.CrossRefGoogle Scholar
[3]Lehto, O. and Virtanen, K.J., ‘Boundary behavior and normal meromorphic functions’, Acta Math. 97 (1959), 47–65.CrossRefGoogle Scholar
[4]Xiangdong, Hou, ‘Bloch functions on the unit ball’, Chinese Ann. Math. Ser. A 8 (1987), 287–299.Google Scholar
[5]Li, H., ‘BMO, VMO and Hankel operators on the Bergman space of strongly pseudoconvex domains’, J. Funct. Anal. 106 (1992), 375–408.CrossRefGoogle Scholar
[6]Krantz, S.G. and Ma, D., ‘Bloch functions on strongly pseudoconvex domains’, Indiana Univ. Math. J. 37 (1988), 145–163.CrossRefGoogle Scholar
You have
Access