Geodesic
The Dirichlet problem for polyanalytic functions
Sbornik. Mathematics, Tome 200 (2009) no. 10, pp. 1473-1493

Voir la notice de l'article provenant de la source Math-Net.Ru

Connections between the boundary behaviour of polyanalytic functions and the structure of the boundary are investigated. In particular, a Jordan domain with Lipschitz boundary is constructed which is regular for the Dirichlet problem in the class of bianalytic functions. Bibliography: 14 titles.
Keywords: polyanalytic functions, boundary properties, Luzin-Privalov construction, univalent functions, lacunary series, Rudin-Carleson theorem. 
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     author = {M. Ya. Mazalov},
     title = {The {Dirichlet} problem for polyanalytic functions},
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M. Ya. Mazalov. The Dirichlet problem for polyanalytic functions. Sbornik. Mathematics, Tome 200 (2009) no. 10, pp. 1473-1493. http://geodesic.mathdoc.fr/item/SM_2009_200_10_a3/