Non-tangential maximal moduli and harmonic functions on the upper half plane (part 1)
Hon Ming Ho, Kin Y. Li · Pure Mathematical Sciences · 2021
In this paper, we present some nice theorems on non-tangential maximal moduli associated to real-valued harmonic functions on the upper half plane. Some necessary and sucient conditions using non- tangential moduli to characterize real parts of holomorphic functions with their boundary value functions having smoothness of high order will be presented in this paper and the second paper.