6533b7d8fe1ef96bd126b631
RESEARCH PRODUCT
Boundary angles, cusps and conformal mappings
Bruce PalkaRaimo Näkkisubject
Bounded functionMathematical analysisHölder conditionInverseBoundary (topology)Conformal mapGeometryGeneral MedicineUnit diskComplex planeMathematicsdescription
Let f be a conformal mapping of a bounded Jordan domain D in the complex plane onto the unit disk . This paper examines the consequences for the local geometry of D near a boundary point z 0 of the mapping f-or, to be more precise, of the homeomorphic extension of this mapping to the closure of D—satisfying a Holder condition at z 0 or, alternatively, of its inverse satisfying a Holder condition at the point f(z 0). In particular, the compatibility of Holder conditions with the presence of cusps in the boundary of D is investigated.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1986-03-01 | Complex Variables, Theory and Application: An International Journal |