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Some spectral properties of the canonical solution operator to $\bar\partial$ on weighted Fock spaces
Constantin, Olivia; Ortega Cerdà, Joaquim
Universitat de Barcelona
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 $L^2(e^{-2\phi})$
Teoria d'operadors
Anàlisi funcional
Funcions de variables complexes
Operator theory
Functional analysis
Functions of complex variables
(c) Elsevier, 2011

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