Compact composition operators on BMOA and the Bloch space
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- by Hasi Wulan, Dechao Zheng and Kehe Zhu PDF
- Proc. Amer. Math. Soc. 137 (2009), 3861-3868 Request permission
Abstract:
We give a new and simple compactness criterion for composition operators $C_\varphi$ on BMOA and the Bloch space in terms of the norms of $\varphi ^n$ in the respective spaces.References
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Additional Information
- Hasi Wulan
- Affiliation: Department of Mathematics, Shantou University, Guangdong, People’s Republic of China
- ORCID: 0000-0001-6771-7311
- Email: wulan@stu.edu.cn
- Dechao Zheng
- Affiliation: Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37235
- MR Author ID: 229147
- Email: dechao.zheng@vanderbilt.edu
- Kehe Zhu
- Affiliation: Department of Mathematics, State University of New York, Albany, New York 12222
- MR Author ID: 187055
- Email: kzhu@math.albany.edu
- Received by editor(s): January 16, 2009
- Received by editor(s) in revised form: March 8, 2009
- Published electronically: June 15, 2009
- Additional Notes: The first and third authors were supported by the China National Natural Science Foundation.
The second and third authors were supported by the U.S. National Science Foundation. - Communicated by: Nigel J. Kalton
- © Copyright 2009 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 137 (2009), 3861-3868
- MSC (2000): Primary 47B38; Secondary 30D50
- DOI: https://doi.org/10.1090/S0002-9939-09-09961-4
- MathSciNet review: 2529895