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 doi: 10.1007/978-3-0348-0648-0_24

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
URI	https://reading-clone.eprints-hosting.org/id/eprint/29217
Identification Number/DOI	10.1007/978-3-0348-0648-0_24
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Uncontrolled Keywords	Hankel operators, Fock spaces, boundedness, compactness
Publisher	Springer Basel
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