We examine the behavior of the Douady-Earle extension and we prove that a symmetric self-map of the circle can be harmonically extended to a conformal self-map of the hyperbolic disc.
机构:
Pohang Univ Sci & Technol, Ctr Geometry & Its Applicat GAIA, Math Sci Bldg, Pohang 790784, Gyeong Sang Bug, South KoreaPohang Univ Sci & Technol, Ctr Geometry & Its Applicat GAIA, Math Sci Bldg, Pohang 790784, Gyeong Sang Bug, South Korea