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Hankel operators from the space of bounded analytic functions to the Bloch space

Published online by Cambridge University Press:  17 April 2009

Ruhan Zhao
Ruhan Zhao
Affiliation:
Department of Mathematics, University of Joensuu, PO Box 111, Fin-80101 Joensuu, Finland
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Abstract

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Boundedness and compactness of little Hankel operators from H∞ to the Bloch space and the little Bloch space are characterised.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 59 , Issue 1 , February 1999 , pp. 53 - 58
Copyright
Copyright © Australian Mathematical Society 1999

References

[1]Choe, B.R., ‘Projections, the weighted Bergman spaces, and the Bloch space’, Proc. Amer. Math. Soc. 108 (1990), 127–136.CrossRefGoogle Scholar
[2]Cowen, C. and MacCluer, B., Composition operators on spaces of analytic functions (CRC Press, Boca Raton, 1995).Google Scholar
[3]Janson, S., Peetre, J. and Semmes, S., ‘On the action of Hankel and Toeplitz operators on some function spaces’, Duke Math. J. 51 (1984), 937–958.CrossRefGoogle Scholar
[4]Shapiro, J., Composition operators and classical function theory (Springer-Verlag, Berlin, Heidelberg, New York, 1993).CrossRefGoogle Scholar
[5]Zhu, K., ‘The Bergman spaces, the Bloch space, and the Gleason's problem’, Trans. Amer. Math. Soc. 309 (1988), 253–268.Google Scholar
[6]Zhu, K., Operator theory in function spaces (Marcel Dekker, New York, 1990).Google Scholar