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On families of Cauchy transforms and BMOA

Part of: Miscellaneous topics of analysis in the complex domain Entire and meromorphic functions, and related topics

Published online by Cambridge University Press:  09 April 2009

Yusuf Abu Muhanna  and
El-Bachir Yallaoui
Yusuf Abu Muhanna
Affiliation:
Department of Mathematics American University of SharjhaPO Box 2666 SharjhaUnited Arab Emirates e-mail: ymuhanna@aus.ac.ae
El-Bachir Yallaoui
Affiliation:
Department of Mathematics and Statistics Sultan Qaboos UniversityPO Box 36 Al-Khod P.C. 123 Muscat Sultanate of Oman e-mail: bachiry@squ.edu.om
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Abstract

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In this paper we prove a number of results on Cauchy transforms of generalized type given by Borel measures supported on the class of analytic functions mapping the unit disc into the unit disk. We also give a BMOA characterization using these families.

Keywords

Cauchy transformsBMOA

MSC classification

Secondary: 30E20: Integration, integrals of Cauchy type, integral representations of analytic functions 30D99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 68 , Issue 3 , June 2000 , pp. 357 - 364
Copyright
Copyright © Australian Mathematical Society 2000

References

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