Abstract
This paper gives some sufficient conditions for an analytic function to belong to the space consisting of all analytic functions on the unit disk such
Highlights
Let D be the open unit disk in the complex plane C and H D the space of all analytic functions in D
Let D a, r denote the pseudo-hyperbolic metric disk centered at a ∈ D with radius r ∈ 0, 1, that is, D a, r {z ∈ D : |φa z | < r}
It is said that an analytic function f z
Summary
Department of Mathematics, Jia Ying University, Meizhou 514015, Guangdong, China Recommended by Stevo Stevic This paper gives some sufficient conditions for an analytic function to belong to the space consisting of all analytic functions f on the unit disk such lim|a|→1 D|f z |p 1 − |z|2 qK g z, a dA z 0. Copyright q 2008 Xiaoge Meng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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