The `Real' Schwarz Lemma
Steven J. Miller, David A. Thompson
TL;DR
This paper explores the real analogue of the Schwarz lemma, extending a fundamental complex analysis result to real functions and examining its properties and implications.
Contribution
It introduces and analyzes the real version of the Schwarz lemma, providing new insights into its behavior in real analysis.
Findings
Established conditions under which the real Schwarz lemma holds
Identified differences between complex and real versions
Provided examples illustrating the lemma's application
Abstract
The purpose of this note is to discuss the real analogue of the Schwarz lemma from complex analysis.
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Taxonomy
TopicsAnalytic and geometric function theory · Holomorphic and Operator Theory · Mathematical Dynamics and Fractals