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arXiv · 1405.6193

Gaussian integral means of entire functions: logarithmic convexity and concavity

Chunjie Wang·Jie Xiao
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Abstract

For $0<p<\infty$ and $α\in (-\infty,\infty)$ 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 measure $e^{-α|z|^2}\,dA(z)$ is logarithmic convex or logarithmic concave.

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Chunjie Wang, Jie Xiao. 2014-05-23. Gaussian integral means of entire functions: logarithmic convexity and concavity. https://arxiv.org/abs/1405.6193

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