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Weighted Bergman Kernels for Logarithmic Weights
- 1.0343847 - MÚ 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. E-ISSN 1558-8602
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
http://www.intlpress.com/site/pub/pages/journals/items/pamq/content/vols/0006/0003/a008/
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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