Gaussian integral means of entire functions: logarithmic convexity and concavity

Chunjie Wang, Jie Xiao

For $0<p<\infty$ and $\alpha \in (-\infty ,\infty )$ we determine when the $L^p$ integral mean on $\{z\in \mathbb{C}:|z|\le r\}$ of an entire function with respect to the Gaussian area meas…