Hardy’s theorem


Let f be a holomorphic functionMathworldPlanetmath on B(0,R) (the open ball of radius R) and f is not a constant function, then


is strictly increasing and logI(r) is a convex function of logr.


  • 1 John B. Conway. . Springer-Verlag, New York, New York, 1978.
Title Hardy’s theorem
Canonical name HardysTheorem
Date of creation 2013-03-22 14:19:44
Last modified on 2013-03-22 14:19:44
Owner jirka (4157)
Last modified by jirka (4157)
Numerical id 6
Author jirka (4157)
Entry type Theorem
Classification msc 30C80
Classification msc 30E20
Related topic HadamardThreeCircleTheorem