Fatou's theorem for $A(z)$-analytic functions

We consider $A(z)-$analytic functions in case when $A(z)$ is an anti-analytic function. This paper investigates the behavior near the boundary of the derivative of the function, $A(z)-$analytic inside the $A(z)-$lemniscate and with a bounded change of it at the boundary. Thus, this paper introduces the complex Lipschitz condition for $A(z)-$analytic functions and proves Fatou's theorem for $A(z)-$analytic functions.