arXiv subjects
Publications and source records attributed to Baili Min.
We investigate the boundary behavior of holomorphic functions with respect to a family of curves in a domain of finite type. This work is a generalization of uCirka's classical result on the unit ball and it supplements the result by Cima and Krantz on the Lindelöf principle for general domains. See [KRA2] for some recent developments in this subject
It is known that inner functions exist on strongly pseudoconvex domains. In this paper we will show that they exist on a more general type of domains, including some domains of finite type.
Recall the Lindelöf principle for the unit disc in $\CC$. In this paper we will show some results about the Lindelöf principle with admissible convergence for domains in $\CC^2$ of finite type.
Recall the Fatou theorem for the unit disc in $\CC$. Consider a domain in $\CC^2$ of finite type. In this paper we will show that the approach regions studied by Nagel, Stein, Wainger and Neff are the best possible ones for the boundary behavior of bounded analytic functions, and there is no Fatou theorem for complex tangentially broader approach regions.