LOGARITHMIC CONVEXITY OF AREA INTEGRAL MEANS FOR ANALYTIC FUNCTIONS II
LOGARITHMIC CONVEXITY OF AREA INTEGRAL MEANS FOR ANALYTIC FUNCTIONS II
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DOI：
10.1017/s1446788714000457
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发表时间：
2013-08
影响因子：
0.7
通讯作者：
Chunjie Wang;J. Xiao;Kehe Zhu
中科院分区：
文献类型：
--
作者：
Chunjie Wang;J. Xiao;Kehe Zhu
Abstract For $0<p<\infty$ and $-2\leq {\it\alpha}\leq 0$ we show that the $L^{p}$ integral mean on $r\mathbb{D}$ of an analytic function in the unit disk $\mathbb{D}$ with respect to the weighted area measure $(1-|z|^{2})^{{\it\alpha}}\,dA(z)$ is a logarithmically convex function of $r$ on $(0,1)$.
