35 citations · 35 across the 1 of their papers we have counts for
3 papers
math.AP2012★ 35 cited
Beltrami equation with coefficient in Sobolev and Besov spaces
Victor Cruz, Joan Mateu, Joan Orobitg
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, $\bar\partial f (z) = μ(…
math.CA2012
Smoothness of the Beurling transform in Lipschitz domains
Victor Cruz, Xavier Tolsa
Let D be a planar Lipschitz domain and consider the Beurling transform of the characteristic function of D, B(1_D). Let 1<p<\infty and 0<a<1 with ap>1. In this paper we show that i…
math.CV2011
Weighted estimates for Beltrami equations
Albert Clop, Víctor Cruz
We obtain a priori estimates in for the generalized Beltrami equation, provided that the coefficients are compactly supported functions with the expected ellipticity…