Boundary behavior of generalized analytic functions

We study the boundary properties of the solutions of the elliptic equation a(z)∂z¯u+b(z)∂zu+A(z)u+B(z)u¯=0 under the assumption that a and b are Hölder continuous and A and B   are in LpLp for some p>2p>2. These properties include the HpHp property, the F. and M. Riesz property and the Rudin–Carleson property.