TY - JOUR
T1 - Weighted estimates for Beltrami equations
AU - Clop, Albert
AU - Cruz, Victor
PY - 2013/5/16
Y1 - 2013/5/16
N2 - We obtain a priori estimates in Lp(ω) for the generalized Beltrami equation, provided that the coefficients are compactly supported VMO functions with the expected ellipticity condition, and the weight ω lies in the Muckenhoupt class Ap. As an application, we obtain improved regularity for the jacobian of certain quasiconformal mappings.
AB - We obtain a priori estimates in Lp(ω) for the generalized Beltrami equation, provided that the coefficients are compactly supported VMO functions with the expected ellipticity condition, and the weight ω lies in the Muckenhoupt class Ap. As an application, we obtain improved regularity for the jacobian of certain quasiconformal mappings.
KW - Beltrami equation
KW - Muckenhoupt weight.
KW - quasiconformal mapping
UR - https://www.scopus.com/pages/publications/84877662708
U2 - 10.5186/aasfm.2013.3818
DO - 10.5186/aasfm.2013.3818
M3 - Article
SN - 1239-629X
VL - 38
SP - 91
EP - 113
JO - Annales Academiae Scientiarum Fennicae Mathematica
JF - Annales Academiae Scientiarum Fennicae Mathematica
ER -