A note on the Schwarz lemma for harmonic functions
Marek Svetlik
TL;DR
This paper explores generalizations of the Schwarz lemma specifically for harmonic functions on the unit disk, focusing on the values and differential norms at the origin.
Contribution
It introduces new generalizations of the Schwarz lemma tailored for harmonic functions, extending classical results to broader conditions.
Findings
Derived bounds for harmonic functions at the origin
Extended Schwarz lemma to harmonic functions with specified values
Provided estimates for differential norms at zero
Abstract
In this note we consider some generalizations of the Schwarz lemma for harmonic functions on the unit disk, whereby values of such functions and the norms of their differentials at the point are given.
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