Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/48984
 Title: Pointwise estimates for the Bergman kernel of the weighted Fock space Author: Marzo Sánchez, JordiOrtega Cerdà, Joaquim Keywords: Funcions de variables complexesFuncions holomorfesFunctions of complex variablesHolomorphic 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 Related resource: http://dx.doi.org/10.1007/s12220-009-9083-x URI: http://hdl.handle.net/2445/48984 ISSN: 1050-6926 Appears in Collections: Articles publicats en revistes (Matemàtiques i Informàtica)

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