0343847 - MÚ 2011 RIV US eng J - Journal Article
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
R&D Projects: GA AV ČR IAA100190802
Keywords : Bergman kernel * Toeplitz operator * logarithmic weight * pseudodifferential operator
Subject RIV: BA - General Mathematics
Impact factor: 0.462, year: 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.
Permanent Link: http://hdl.handle.net/11104/0186225