Logarithmic convexity of area integral means for analytic functions II

Chunjie Wang, Jie Xiao, Kehe Zhu

For $0<p<\infty$ and $-2\le \alpha \le 0$ we show that the $L^p$ integral mean on $rD$ of analytic function in the unit disk $D$ with respect to the weighted area measure $(1-|z|^2)^αdA(z)…