Geodesic
On the boundary behaviour of functions in the Djrbashyan classes $U_\alpha$ and~$A_\alpha$
Eurasian mathematical journal, Tome 4 (2013) no. 2, pp. 57-63

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Nevanlinna factorization theorem was essentially extended in a series of papers by M. M. Djrbashyan for classes $A_\alpha$ and $U_\alpha$ introduced by him, see [2], [3]. In this paper we pay particular attention to non vanishing functions $f\in A_\alpha(-1\alpha0)$ and show that for any $\theta$ except at most a set of zero $(1+\alpha)$-capacity we have $|\ln|f(z)||=o((1-|z|)^{1+\alpha})$ as $z\to e^{i\theta}$. 
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     author = {R. V. Dallakyan},
     title = {On the boundary behaviour of functions in the {Djrbashyan} classes $U_\alpha$ and~$A_\alpha$},
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R. V. Dallakyan. On the boundary behaviour of functions in the Djrbashyan classes $U_\alpha$ and~$A_\alpha$. Eurasian mathematical journal, Tome 4 (2013) no. 2, pp. 57-63. http://geodesic.mathdoc.fr/item/EMJ_2013_4_2_a3/