Can I read Weighted Integral Means of Mixed Areas and Lengths under Holomorphic Mappings on EtoBox?

Weighted Integral Means of Mixed Areas and Lengths under Holomorphic Mappings by Xiao, Jie; Xu, Wen is a scholarly article available to read on EtoBox.

What is Weighted Integral Means of Mixed Areas and Lengths under Holomorphic Mappings about?

This note addresses monotonic growths and logarithmic convexities of the weighted ($(1-t^2)^\alpha dt^2$, $-\infty<\alpha<\infty$, $0<t<1$) integral means $\mathsf{A}_{\alpha,\beta}(f,\cdot)$ and $\mathsf{L}_{\alpha,\beta}(f,\cdot)$ of the mixed area $(\pi r^2)^{-\beta}A(f,r)$ and the mixed length $(2\pi r)^{-\beta}L(f,r)$ ($0\le\beta\le 1$ and $0<r<1$) of $f(r\mathbb D)$ and $\partial f(r\mathbb D)$ under a holomorphic map $f$ from the unit disk $\mathbb D$ into the finite complex plane $\mathbb C$.

Author

Xiao, Jie; Xu, Wen

Published

2011

Language

EN