Geodesic
Beltrami Equation with Coefficient in Sobolev and Besov Spaces
Canadian journal of mathematics, Tome 65 (2013) no. 6, pp. 1217-1235

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DOI

Our goal in this work is to present some function spaces on the complex plane $\mathbb{C},\,X(\mathbb{C})$ , for which the quasiregular solutions of the Beltrami equation, $\bar{\partial }f(z)\,=\,\mu (z)\partial f(z)$ , have first derivatives locally in $X(\mathbb{C})$ , provided that the Beltrami coefficient $\mu $ belongs to $X(\mathbb{C})$ .
DOI : 10.4153/CJM-2013-001-7
Mots-clés : 30C62, 35J99, 42B20, quasiregular mappings, Beltrami equation, Sobolev spaces, Calderón-Zygmund operators 
Cruz, Victor; Mateu, Joan; Orobitg, Joan. Beltrami Equation with Coefficient in Sobolev and Besov Spaces. Canadian journal of mathematics, Tome 65 (2013) no. 6, pp. 1217-1235. doi: 10.4153/CJM-2013-001-7
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     author = {Cruz, Victor and Mateu, Joan and Orobitg, Joan},
     title = {Beltrami {Equation} with {Coefficient} in {Sobolev} and {Besov} {Spaces}},
     journal = {Canadian journal of mathematics},
     pages = {1217--1235},
     year = {2013},
     volume = {65},
     number = {6},
     doi = {10.4153/CJM-2013-001-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2013-001-7/}
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