The rank of Hankel operators on harmonic Bergman spaces
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Abstract:
We show that on the harmonic Bergman spaces, the Hankel operators with nonconstant harmonic symbol cannot be of finite rank.References
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Additional Information
- Lova Zakariasy
- Affiliation: Department of Mathematics, University of Bordeaux I, 351, cours de la Liberation, 33045 Talence cedex, France
- Email: lova.zakariasy@math.u-bordeaux.fr
- Received by editor(s): September 14, 2001
- Received by editor(s) in revised form: November 11, 2001
- Published electronically: November 4, 2002
- Communicated by: Joseph A. Ball
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 1177-1180
- MSC (2000): Primary 47B35
- DOI: https://doi.org/10.1090/S0002-9939-02-06638-8
- MathSciNet review: 1948109