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2011-05-01

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/34363

Some spectral properties of the canonical solution operator to $\bar\partial$ on weighted Fock spaces

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http://dx.doi.org/10.1016/j.jmaa.2010.10.074

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 $L^2(e^{-2\phi})$

Subject

Teoria d'operadors, Anàlisi funcional, Funcions de variables complexes

Subject (English)

Operator theory, Functional analysis, Functions of complex variables

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Articles publicats en revistes (Matemàtiques i Informàtica)

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CONSTANTIN, Olivia and ORTEGA CERDÀ, Joaquim. Some spectral properties of the canonical solution operator to $\bar\partial$ on weighted Fock spaces. Journal of Mathematical Analysis and Applications. 2011. Vol. 377, num. 1, pags. 353-361. ISSN 0022-247X. [consulted: 15 of August of 2026]. Available at: https://hdl.handle.net/2445/34363

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