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Admissible limits of bloch functions on bounded strongly pseudoconvex domains

Published online by Cambridge University Press:  17 April 2009

Hu Zhangjian
Hu Zhangjian
Affiliation:
Department of Mathematics, Huzhou Teachers College, Huzhou, Zhejiang 313000, People's Republic of China
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Abstract

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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
Bulletin of the Australian Mathematical Society , Volume 54 , Issue 1 , August 1996 , pp. 1 - 3
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