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oai:recercat.cat:2445/489842025-12-05T09:58:10Zcom_2072_1057col_2072_478917col_2072_478920

Pointwise estimates for the Bergman kernel of the weighted Fock space Marzo Sánchez, Jordi Ortega Cerdà, Joaquim Funcions de variables complexes Funcions holomorfes Functions of complex variables Holomorphic functions 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 $\Delta\phi$. 2014-01-17T09:47:14Z 2014-01-17T09:47:14Z 2009-06-04 2014-01-17T09:47:14Z info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion 1050-6926 https://hdl.handle.net/2445/48984 567420 eng Versió postprint del document publicat a: DOI 10.1007/s12220-009-9083-x Journal of Geometric Analysis, 2009, vol. 19, num. 4, p. 890-910 http://dx.doi.org/10.1007/s12220-009-9083-x (c) Mathematica Josephina, Inc., 2009 info:eu-repo/semantics/openAccess 21 p. application/pdf Springer Verlag Articles publicats en revistes (Matemàtiques i Informàtica)