An analogue of Fatou’s theorem and a boundary uniqueness theorem for functions of the Hardy class $H^1_A$

In this talk we consider $A(z)$-analytic functions in the case when $A(z)$ is an anti-analytic function. In the talk we prove an analogue of Fatou’s theorem for $A(z)$-analytic functions on the existence of boundary values and a uniqueness theorem for the Hardy class $H^1_A$.