Title:
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Pointwise estimates for the Bergman kernel of the weighted Fock space
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Author:
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Marzo Sánchez, Jordi; Ortega Cerdà, Joaquim
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Other authors:
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Universitat de Barcelona |
Abstract:
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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 $\Delta\phi$. |
Subject(s):
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-Funcions de variables complexes -Funcions holomorfes -Functions of complex variables -Holomorphic functions |
Rights:
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(c) Mathematica Josephina, Inc., 2009
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Document type:
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Article Article - Accepted version |
Published by:
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Springer Verlag
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