Počet záznamů: 1

Weighted Bergman Kernels for Logarithmic Weights

  1. 1.
    0343847 - MU-W 2011 RIV US eng J - Článek v odborném periodiku
    Engliš, Miroslav
    Weighted Bergman Kernels for Logarithmic Weights.
    Pure and Applied Mathematics Quarterly. Roč. 6, č. 3 (2010), s. 781-813 ISSN 1558-8599
    Grant CEP: GA AV ČR IAA100190802
    Klíčová slova: Bergman kernel * Toeplitz operator * logarithmic weight * pseudodifferential operator
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.462, rok: 2010

    We describe the boundary singularity of weighted Bergman kernels on smoothly bounded strictly pseudoconvex domains for weights which behave, roughly speaking, likely formal power series in defining function with coefficients which are polynomials in the logarithm of defining function. The result extends also to weighted Sobolev spaces of holomorphic functions with respect to such weights. Connections with holomorphic invariants are outlined, and some examples presented.
    Trvalý link: http://hdl.handle.net/11104/0186225
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