Toeplitz operators on Bloch-type spaces
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- by Zhijian Wu, Ruhan Zhao and Nina Zorboska PDF
- Proc. Amer. Math. Soc. 134 (2006), 3531-3542 Request permission
Abstract:
We characterize complex measures $\mu$ on the unit disk for which the Toeplitz operator $T_{\mu }^{\alpha },$ $\alpha >0$, is bounded or compact on the Bloch type spaces $B^{\alpha }$.References
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Additional Information
- Zhijian Wu
- Affiliation: Department of Mathematics, University of Alabama, Tuscaloosa, Alabama 35487
- Email: zwu@gp.as.ua.edu
- Ruhan Zhao
- Affiliation: Department of Mathematics, University of Toledo, Toledo, Ohio 43606
- Address at time of publication: Department of Mathematics, SUNY–Brockport, Brockport, New York 14420
- Email: Ruhan.Zhao@utoledo.edu, rzhao@brockport.edu
- Nina Zorboska
- Affiliation: Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2
- Email: zorbosk@cc.umanitoba.ca
- Received by editor(s): October 29, 2004
- Received by editor(s) in revised form: June 15, 2005
- Published electronically: May 31, 2006
- Additional Notes: The research of the first author was supported in part by NSF grant DMS 0200587
The research of the third author was supported in part by an NSERC grant - Communicated by: Joseph A. Ball
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 3531-3542
- MSC (2000): Primary 47B35; Secondary 32A18
- DOI: https://doi.org/10.1090/S0002-9939-06-08473-5
- MathSciNet review: 2240665