6533b828fe1ef96bd12881bc
RESEARCH PRODUCT
Generalized quasidisks and conformality II
Chang-yu Guosubject
Discrete mathematicsIntegrable systemPlane (geometry)Applied MathematicsGeneral Mathematics010102 general mathematicsA domainConformal map01 natural sciencesUnit diskHomeomorphism010101 applied mathematicsDistortion (mathematics)Point (geometry)0101 mathematicsMathematicsdescription
We introduce a weaker variant of the concept of three point property, which is equivalent to a non-linear local connectivity condition introduced in [12], sufficient to guarantee the extendability of a conformal map f from the unit disk onto a domain to the entire plane as a homeomorphism of locally exponentially integrable distortion. Sufficient conditions for extendability to a homeomorphism of locally p-integrable distortion are also given.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-02-25 | Proceedings of the American Mathematical Society |