Diagonal Estimates for Bergman Kernels in Monomial-Type Domains
Diagonal Estimates for Bergman Kernels in Monomial-Type Domains
This chapter discusses diagonal estimates for Bergman kernels in monomial-type domains. It begins by briefly recalling the definition and some of the elementary properties of the Bergman projection and Bergman kernel. The chapter then turns to a problem which requires obtaining uniform estimates for a Bergman kernel on the diagonal of a model monomial domain. The chapter then sketches an approach devised by Gregor Herbort in 1983, when he gave an example in which the growth of the Bergman kernel on the diagonal is not given by a negative power of the distance to the boundary. Through Herbort's method, the chapter arrives at its required estimates.
Keywords: Bergman kernels, model monomial domain, monomial-type domains, diagonal estimates, Bergman projection, Gregor Herbort
Princeton Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.
Please, subscribe or login to access full text content.
If you think you should have access to this title, please contact your librarian.
To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us.
