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arXiv · 1905.10785

A submultiplicative property of the Carath\'eodory metric on planar domains

Amar Deep Sarkar·Kaushal Verma
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Abstract

Given a pair of smoothly bounded domains $D_1, D_2 \subset \mathbb C$, the purpose of this note is to obtain an inequality that relates the Carath\'{e}odory metrics on $D_1, D_2, D_1 \cap D_2$ and $D_1 \cup D_2$.

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Amar Deep Sarkar, Kaushal Verma. 2019-05-26. A submultiplicative property of the Carath\'eodory metric on planar domains. https://arxiv.org/abs/1905.10785

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