Hankel operators on Fock spaces

Article English OPEN
Perala, A. ; Schuster, A. ; Virtanen, Jani A. (2014)
  • Publisher: Springer Basel
  • Related identifiers: doi: 10.1007/978-3-0348-0648-0_24
  • Subject:
    arxiv: Mathematics::Classical Analysis and ODEs | Mathematics::Functional Analysis

We study Hankel operators on the weighted Fock spaces\ud 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\ud Zhu's characterization of bounded and compact Hankel operators on Bergman spaces of the unit disk.
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