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Hankel operators on Fock spaces

Perala, A., Schuster, A. and Virtanen, J. A. (2014) Hankel operators on Fock spaces. Operator Theory: Advances and Applications, 236. pp. 377-390. ISSN 0255-0156

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To link to this item DOI: 10.1007/978-3-0348-0648-0_24


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


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