Tangential Boundary Properties of Arbitrary Functions in the Unit Disc

Hidenobu Yoshida
1972 Nagoya mathematical journal  
1. By the method of Dolzhenko's paper, we studied relations between non-tangetial (angular) boundary behaviors and horocyclic boundary behaviors of arbitrary functions defined in the open unit disc of the complex plane in [8]. Vessey [5], [6] investigated the behavior of arbitrary functions on paths which are "more tangential" than horocycles. The purpose of the present paper is to prove the fact that is sharper than the results in Vessey [5], [6], and generalize the results in [8] to obtain
more » ... connection between behaviors on two "more tangential" angles.
doi:10.1017/s002776300001480x fatcat:ex77ddj4jvgkpasbqpuim575ki