Proceedings of the American Mathematical Society

Author(s): Zhijian Wu; Ruhan Zhao; Nina Zorboska
Journal: Proc. Amer. Math. Soc. 134 (2006), 3531-3542.
MSC (2000): Primary 47B35; Secondary 32A18
Posted: May 31, 2006
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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 $B^{\alpha }$ .

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47B35, 32A18

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

DOI: 10.1090/S0002-9939-06-08473-5
PII: S 0002-9939(06)08473-5
Keywords: Toeplitz operators, $\alpha$-Bloch spaces
Received by editor(s): October 29, 2004
Received by editor(s) in revised form: June 15, 2005
Posted: 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 of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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