Invertible harmonic mappings of the unit disk onto Dini smooth Jordan domains |
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Authors: | David Kalaj |
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Affiliation: | Faculty of Natural Sciences and Mathematics, University of Montenegro, Montenegro, D?ord?a Va?ingtona b.b. 81000, Podgorica, Montenegro |
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Abstract: | In this paper we extend Radó–Kneser–Choquet theorem for the mappings with weak homeomorphic Lipschitz boundary function and Dini's smooth boundary but without restriction on the convexity of the image domain, provided that the Jacobian satisfies a certain boundary condition. The proof is based on a recent extension of Radó–Kneser–Choquet theorem by Alessandrini and Nesi [1] and is used the approximation principle. |
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Keywords: | Harmonic Kneser theorem Convex |
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