TY - JOUR
T1 - Beltrami equation with coefficient in Sobolev and Besov spaces
AU - Mateu Bennassar, Juan Eugenio
AU - Cruz, Victor
AU - Orobitg, Joan
PY - 2013/12/1
Y1 - 2013/12/1
N2 - Our goal in this work is to present some function spaces on the complex plane ℂ, X(ℂ), for which the quasiregular solutions of the Beltrami equation, ∂ f (z) = μ(z)∂ f (z), have first derivatives locally in X(ℂ), provided that the Beltrami coefficient μ belongs to X(ℂ). © Canadian Mathematical Society 2013.
AB - Our goal in this work is to present some function spaces on the complex plane ℂ, X(ℂ), for which the quasiregular solutions of the Beltrami equation, ∂ f (z) = μ(z)∂ f (z), have first derivatives locally in X(ℂ), provided that the Beltrami coefficient μ belongs to X(ℂ). © Canadian Mathematical Society 2013.
KW - Beltrami equation
KW - Calderón- Zygmund operators
KW - Quasiregular mappings
KW - Sobolev spaces
UR - https://www.scopus.com/pages/publications/84894202820
U2 - 10.4153/CJM-2013-001-7
DO - 10.4153/CJM-2013-001-7
M3 - Article
SN - 0008-414X
VL - 65
SP - 1217
EP - 1235
JO - Canadian Journal of Mathematics
JF - Canadian Journal of Mathematics
ER -