Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 10 Issue 1
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- Pages.145-153
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- 1995
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
HARMONIC DOUBLING CONDITION AND JOHN DISKS
Abstract
A Jordan domain D in C is said to be a c-quasidisk if there exists a constant $c \geq 1$ such that each two points $z_1$ and $z_2$ in D can be joined by an arc $\tau$ in D such that $$ \ell(\tau) \leq c