Some spectral properties of the canonical solution operator to dbar on weighted Fock spaces

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. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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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: https://kar.kent.ac.uk/id/eprint/31259 (The current URI for this page, for reference purposes)
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