Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/34363
 Title: Some spectral properties of the canonical solution operator to $\bar\partial$ on weighted Fock spaces Author: Constantin, OliviaOrtega Cerdà, Joaquim Keywords: Teoria d'operadorsAnàlisi funcionalFuncions de variables complexesOperator theoryFunctional analysisFunctions of complex variables Issue Date: 1-May-2011 Publisher: Elsevier Abstract: 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 $L^2(e^{-2\phi})$ Note: Versió postprint del document publicat a: http://dx.doi.org/10.1016/j.jmaa.2010.10.074 It is part of: Journal of Mathematical Analysis and Applications, 2011, vol. 377, num. 1, p. 353-361 Related resource: http://dx.doi.org/10.1016/j.jmaa.2010.10.074 URI: http://hdl.handle.net/2445/34363 ISSN: 0022-247X Appears in Collections: Articles publicats en revistes (Matemàtiques i Informàtica)

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