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