2015/02/28 by Liwei Chen · 7 citations
Mathematics · #Algebraic and Geometric Analysis #Generalization #Geometry and complex manifolds #Gravitational singularity #Holomorphic and Operator Theory #Projection (relational algebra) #Singularity #Sobolev space #math.CV
paper · pdf · doi:10.2140/pjm.2017.288.307
published in Pacific Journal of Mathematics 288(2), 307-318 (Mathematical Sciences Publishers) · Revised. 11 pages
arxiv created 2015/10/20 · openalex created_date 2016/06/24 · openalex publication_date 2017/04/28 · arxiv updated 2017/06/14 · openalex updated_date 2026/08/05
We prove a weighted Sobolev estimate of the Bergman projection on the Hartogs triangle, where the weight is some power of the distance to the singularity at the boundary. This method also applies to the n-dimensional generalization of the Hartogs triangle.