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Hankel operators on Fock spaces

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Perala, A., Schuster, A. and Virtanen, J. A. (2012) Hankel operators on Fock spaces. Operator Theory: Advances and Applications. (In Press)

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Abstract/Summary

We study Hankel operators on the weighted Fock spaces Fp. The boundedness and compactness of these operators are characterized in terms of BMO and VMO, respectively. Along the way, we also study Berezin transform and harmonic conjugates on the plane. Our results are analogous to Zhu's characterization of bounded and compact Hankel operators on Bergman spaces of the unit disk.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical and Physical Sciences > Department of Mathematics and Statistics
ID Code:29217
Uncontrolled Keywords:Hankel operators, Fock spaces, boundedness, compactness
Publisher:Springer Basel

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