This survey review examines applications of Schwarz's lemma and related inequalities, indicating their significance in advanced mathematics.
This is a survey article on Schwarz's lemma and some applications. In particular, we study Schwarz–Pick theorems, Lindelöf's inequality, Poincaré metric on the open unit disk, and a δ,ϵ version of Schwarz's lemma, due to Earle. We also discuss an inequality of Harris. We include a brief discussion on quasiconformal mappings and Schwarz's lemma. We conclude with some applications in Teichmüller theory.
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G et al. (2026) studied this question.
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