Constantin, Olivia and Ortega-Cerda, Joaquim (2011) Some spectral properties of the canonical solution operator to dbar on weighted Fock spaces. Journal of Mathematical Analysis and Applications, 377 (1). pp. 353-361. ISSN 0022-247X.
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| Official URL http://dx.doi.org/10.1016/j.jmaa.2010.10.074 |
Abstract
We characterize the Schatten class membership of the canonical solution operator to acting on L2(e−2ϕ), where ϕ is a subharmonic function with Δϕ a doubling measure. The obtained characterization is in terms of Δϕ. As part of our approach, we study Hankel operators with anti-analytic symbols acting on the corresponding Fock space of entire functions in L2(e−2ϕ).
| Item Type: | Article |
|---|---|
| Uncontrolled keywords: | Schatten classes |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science |
| Depositing User: | Olivia Constantin |
| Date Deposited: | 04 Oct 2012 11:42 |
| Last Modified: | 23 Jan 2013 12:12 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/31259 (The current URI for this page, for reference purposes) |
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