Number of the records: 1  

Weighted Bergman Kernels for Logarithmic Weights

  1. 1.
    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

     
    FileDownloadSizeCommentaryVersionAccess
    Englis5.pdf1301.8 KBPublisher’s postprintrequire
     
Number of the records: 1  

  This site uses cookies to make them easier to browse. Learn more about how we use cookies.