Tangential Loewner hulls

Joan Lind

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arXiv · 1909.01151

Tangential Loewner hulls

Joan Lind

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Abstract

Through the Loewner equation, real-valued driving functions generate sets called Loewner hulls. We analyze driving functions that approach 0 at least as fast as $a (T-t)^r$ as $t \to T$, where $r \in (0, 1/2)$, and show that the corresponding Loewner hulls have tangential behavior at time $T$. We also prove a result about trace existence and apply it to show that the Loewner hulls driven by $a(T-t)^r$ for $r \in (0,1/2)$ have a tangential trace curve.

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BibTeX RIS

Joan Lind. 2019-09-03. Tangential Loewner hulls. https://arxiv.org/abs/1909.01151

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