A reverse Schwarz--Pick inequality

Abstract

We prove a kind of "reverse Schwarz--Pick lemma" for holomorphic self-maps of the disk. The result becomes especially clear-cut for inner functions and casts new light on their derivatives.

8 pages; to appear in Comput. Methods Funct. Theory

Cited by in corpus (3)

• A characterization of Möbius transformations
• Inner functions and inner factors of their derivatives
• Boundary Gauss--Lucas type theorems on the disk