2015/04/30 by Luke Edholm
Mathematics · #Algebraic and Geometric Analysis #Bergman kernel #Bergman space #Boundary (topology) #Expression (computer science) #Geometry and complex manifolds #Holomorphic and Operator Theory #Kernel (algebra) #math.CV #msc:32A25 #msc:32A36 #msc:32W05
paper · pdf · doi:10.2140/pjm.2016.284.327
published as Pacific J. Math. 284 (2016) 327-342 · 13 pages
arxiv created 2016/02/20 · openalex created_date 2016/06/24 · crossref issued 2016/08/30 · crossref published 2016/08/30 · crossref published-online 2016/08/30 · openalex publication_date 2016/08/30 · crossref created 2016/09/06 · arxiv updated 2016/09/07 · crossref deposited 2017/03/11 · crossref indexed 2026/07/31 · openalex updated_date 2026/08/05
The Bergman theory of domains |z 1 | < |z 2 | < 1 in 2 is studied for certain values of , including all positive integers. For such , we obtain a closed form expression for the Bergman kernel . With these formulas, we make new observations relating to the Lu Qi-Keng problem and analyze the boundary behavior of (z, z).