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urn:hdl:2445/34363 Some spectral properties of the canonical solution operator to $\bar\partial$ on weighted Fock spaces Constantin, Olivia Ortega Cerdà, Joaquim Teoria d'operadors Anàlisi funcional Funcions de variables complexes Operator theory Functional analysis Functions of complex variables We characterize the Schatten class membership of the canonical solution operator to $\overline{\partial}$ acting on $L^2(e^{-2\phi})$, where $\phi$ is a subharmonic function with $\Delta\phi$ a doubling measure. The obtained characterization is in terms of $\Delta\phi$. As part of our approach, we study Hankel operators with anti-analytic symbols acting on the corresponding Fock space of entire functions in $L^2(e^{-2\phi})$ 2013-03-22T11:50:25Z 2013-03-22T11:50:25Z 2011-05-01 2013-03-22T11:50:25Z info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Versió postprint del document publicat a: http://dx.doi.org/10.1016/j.jmaa.2010.10.074 Journal of Mathematical Analysis and Applications, 2011, vol. 377, num. 1, p. 353-361 http://dx.doi.org/10.1016/j.jmaa.2010.10.074 (c) Elsevier, 2011 info:eu-repo/semantics/openAccess Elsevier Articles publicats en revistes (Matemàtiques i Informàtica)