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

Amar Deep Sarkar; Kaushal Verma

arxiv: 1905.10785 · v1 · pith:NYVG6GDRnew · submitted 2019-05-26 · 🧮 math.CV

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

Amar Deep Sarkar , Kaushal Verma This is my paper

classification 🧮 math.CV

keywords carathdomainsboundedeodorygiveninequalitymathbbmetric

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

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