Logarithmic Convexity of Area Integral Means for Analytic Functions

Authors

  • Chunjie Wang
  • Kehe Zhu

DOI:

https://doi.org/10.7146/math.scand.a-16643

Abstract

We show that the L2 integral mean on rD of an analytic function in the unit disk D with respect to the weighted area measure (1|z|2)αdA(z), where 3α0, is a logarithmically convex function of r on (0,1). We also show that the range [3,0] for α is best possible.

Downloads

Published

2014-01-17

How to Cite

Wang, C., & Zhu, K. (2014). Logarithmic Convexity of Area Integral Means for Analytic Functions. MATHEMATICA SCANDINAVICA, 114(1), 149–160. https://doi.org/10.7146/math.scand.a-16643

Issue

Section

Articles