We prove that the Kobayashi distance near boundary of a pseudoconvex Reinhardt domain D increases asymptotically at most like − log d D + C. Moreover, for boundary points from intD the growth does not exceed 1 2 log(− log d D ) + C. The lower estimate by − 1 2 log d D + C is obtained under additional assumptions of C 1 -smoothness of a domain and a non-tangential convergence.2010 Mathematics Subject Classification. Primary: 32F45. Secondary: 32A07.
scite is a Brooklyn-based startup that helps researchers better discover and evaluate scientific articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by researchers from dozens of countries and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.