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F. Gehring (1999)
Characterizations of quasidisksBanach Center Publications, 48
J. Krzyż (1987)
Quasicircles and harmonic measure, 12
Kiwon Kim (1995)
HARMONIC DOUBLING CONDITION AND JOHN DISKSCommunications of The Korean Mathematical Society, 10
O. Broch (2006)
Extension of internally bilipschitz maps in John disks, 31
R Näkki, J Väisälä (1991)
John disksExpo. Math., 9
Kari Hag (1999)
What is a diskBanach Center Publications, 48
D. Jerison, C. Kenig (1982)
Boundary behavior of harmonic functions in non-tangentially accessible domainsAdvances in Mathematics, 46
Navah Langmeyer (1996)
THE QUASIHYPERBOLIC METRIC, GROWTH, AND JOHN DOMAINS, 23
Kiwon Kim, Navah Langmeyer (1998)
Harmonic measure and hyperbolic distance in John disksMathematica Scandinavica, 83
J Väisälä (1984)
Quasi-Möbius mapsJ. Analyse Math., 44
Von Pfluger (1960)
Ueber Die Konstruktion Riemannscher Flachen Durch VerheftungJournal of the Indian Mathematical Society, 24
C. Pommerenke (1982)
One-Sided Smoothness Conditions and Conformal MappingJournal of The London Mathematical Society-second Series
F. Gehring, K. Hag (2004)
Sewing Homeomorphisms and QuasidisksComputational Methods and Function Theory, 3
S. Rickman (1967)
Characterization of quasiconformal arcs, 1967
Relations involving ordered quadruples of points on the boundary of a Jordan domain are investigated, and it is shown that these relations hold if and only if the domain is a John disk. In particular connections between absolute cross ratios and moduli of corresponding quadrilaterals are examined. A characterization of John disks based on a relation between diameters of subarcs of the boundary and bounds for moduli of associated quadrilaterals is also given. The results are one sided analogues to characterizations of quasidisks.
Computational Methods and Function Theory – Springer Journals
Published: Mar 7, 2013
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