知识与财富的链接
In this paper, we establish distortion theorems for both normalized p-Bloch functions with branch points and normalized locally univalent p-Bloch functions defined on the unit disk, respectively. These distortion theorems give lower bounds on |f′(z)| and ■f′(z). As applications of these distortion theorems, the lower bounds of the radius of the largest schlicht disk on these Bloch functions are given, respectively. Notice that when p = 1, our results reduce to that of Liu and Minda.
In this paper, we establish distortion theorems for both normalized $p$-Bloch functions with branch points and normalized locally univalent $p$-Bloch functions defined on the unit disk, respectively. These distortion theorems give lower bounds on $| f'(z)|$ and $\Re f'(z)$. As applications of these distortion theorems, the lower bounds of the radius of the largest schlicht disk on these Bloch functions are given, respectively. Notice that when $p=1$, our results reduce to that of Liu and Minda.
