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20072023
most citedCritical points of inner functions, nonlinear partial differential equations, and an extension of Liouville's theorem

14 citations · 44 across the 24 of their papers we have counts for

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math.CV2022

The Nehari-Schwarz lemma and infinitesimal boundary rigidity of bounded holomorphic functions

Oliver Roth

We survey a number of recent generalizations and sharpenings of Nehari's extension of Schwarz' lemma for holomorphic self-maps of the unit disk. In particular, we discuss the case…

math.CV2022

Geometric Versions of Schwarz's Lemma for Spherically Convex Functions

Maria Kourou, Oliver Roth

We prove several sharp distortion and monotonicity theorems for spherically convex functions defined on the unit disk involving geometric quantities such as spherical length, spher…