Article ID Journal Published Year Pages File Type
4613760 Journal of Mathematical Analysis and Applications 2017 13 Pages PDF
Abstract

We estimate the Jacobian of harmonic mapping of the unit disk onto a smooth and convex Jordan domain via the boundary function and the boundary curvature of the image domain. By using this result we make some asymptotically sharp estimates of constant of quasiconformality for harmonic diffeomorphisms between the unit disk and the convex domains via their boundary mappings.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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