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On a theorem of Privalov and normal functions

On a theorem of Privalov and normal functions

A well known result of Privalov asserts that if $f$ is a function which is analytic in the unit disc $\Delta =\{z\in \mathbb {C} : \vert z\vert <1\}$, then $f$ has a continuous extension to the closed unit disc and its boundary function $f(e^{i\theta })$ is absolutely continuous if and …