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Títol:
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Pointwise estimates for the Bergman kernel of the weighted Fock space
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Autor/a:
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Marzo Sánchez, Jordi; Ortega Cerdà, Joaquim
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Altres autors:
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Universitat de Barcelona |
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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 $\Delta\phi$. |
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Matèries:
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-Funcions de variables complexes
-Funcions holomorfes
-Functions of complex variables
-Holomorphic functions |
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Drets:
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(c) Mathematica Josephina, Inc., 2009
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Tipus de document:
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Article
Article - Versió acceptada |
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Publicat per:
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Springer Verlag
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