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http://hdl.handle.net/2445/48984
Title: | Pointwise estimates for the Bergman kernel of the weighted Fock space |
Author: | Marzo Sánchez, Jordi Ortega Cerdà, Joaquim |
Keywords: | Funcions de variables complexes Funcions holomorfes Functions of complex variables Holomorphic functions |
Issue Date: | 4-Jun-2009 |
Publisher: | Springer Verlag |
Abstract: | We prove upper pointwise estimates for the Bergman kernel of the weighted Fock space of entire functions in $L^{2}(e^{-2\phi}) $ where $\phi$ is a subharmonic function with $\Delta\phi$ a doubling measure. We derive estimates for the canonical solution operator to the inhomogeneous Cauchy-Riemann equation and we characterize the compactness of this operator in terms of $\Delta\phi$. |
Note: | Versió postprint del document publicat a: DOI 10.1007/s12220-009-9083-x |
It is part of: | Journal of Geometric Analysis, 2009, vol. 19, num. 4, p. 890-910 |
URI: | http://hdl.handle.net/2445/48984 |
Related resource: | http://dx.doi.org/10.1007/s12220-009-9083-x |
ISSN: | 1050-6926 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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