A Boundary Rigidity Problem For Holomorphic Mappings on Some Weakly Pseudoconvex Domains
A Boundary Rigidity Problem For Holomorphic Mappings on Some Weakly Pseudoconvex Domains
Abstract In this paper, we study the boundary version of the classical Cartan theorem. We show that for some weakly pseudoconvex domains, when a holomorphic self-mapping has a sufficiently high order of contact (which depends only on the geometric properties of the domains) with the identical map at some boundary …