Research On Julia-Wolff-Caratheodory Theorem In Ploydisk

This paper discusses mainly the Julia-Wolff-Caratheodory Theorem in the poly discs,we s-tarte from its original form,background and current research about the theorem.Then we general-ize relevant concepts and conclusions via the general Stolz region and the projection device.After that,we summarize the research on ploy discs of Abate and the research on unit balls of Rudin and so on.Furtheremore,we campared four kinds of limits of the Julia-Wolff-Caratheodory in poly disks and got a theorem about their ranking,via this theorem,we can better undersatand the corresponding Julia-Wolff-Theorem in the poly disks.Finally,we present the idea of theorem in the view of infinitiesimal generator.