Two Theorems on Boundary Values of Analytic Functions

S. R. Barker
1978 Proceedings of the American Mathematical Society  
We give a new admissible maximal inequality for analytic functions of several complex variables, and also show that an analytic function which is admissibly bounded at almost all boundary points of a domain D must have an admissible limit a.e. These results are then applied to the boundary behaviour of the Nevanlinna class of D.
doi:10.2307/2040907 fatcat:blo37k4rn5gypkn5jrde7l7id4