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http://hdl.handle.net/2445/34363
Title: | Some spectral properties of the canonical solution operator to $\bar\partial$ on weighted Fock spaces |
Author: | Constantin, Olivia Ortega Cerdà, Joaquim |
Keywords: | Teoria d'operadors Anàlisi funcional Funcions de variables complexes Operator theory Functional analysis Functions 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 |
URI: | http://hdl.handle.net/2445/34363 |
Related resource: | http://dx.doi.org/10.1016/j.jmaa.2010.10.074 |
ISSN: | 0022-247X |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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