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math.CV2019
A submultiplicative property of the Carathéodory metric on planar domains
Amar Deep Sarkar, Kaushal Verma
Given a pair of smoothly bounded domains , the purpose of this note is to obtain an inequality that relates the Carathéodory metrics on $D_1, D_2, D_1 \…
math.CV2019
Boundary behaviour of some conformal invariants on planar domains
Amar Deep Sarkar, Kaushal Verma
The purpose of this note is to use the scaling principle to study the boundary behaviour of some conformal invariants on planar domains. The focus is on the Aumann--Carathéodory ri…