Geodesic
Nevanlinna factorization in weighted classes of analytic functions of~variable smoothness
Izvestiya. Mathematics , Tome 85 (2021) no. 3, pp. 582-604.

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We define a new class of functions of variable smoothness that are analytic in the unit disc and continuous in the closed disc. We construct the theory of the Nevanlinna outer-inner factorization, taking into account the influence of the inner factor on the outer function, for functions of the new class.
Keywords: outer-inner factorization, Muckenhoupt condition.
Mots-clés : Lebesgue spaces with variable exponent 
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N. A. Shirokov. Nevanlinna factorization in weighted classes of  analytic functions of~variable smoothness. Izvestiya. Mathematics , Tome 85 (2021) no. 3, pp. 582-604. http://geodesic.mathdoc.fr/item/IM2_2021_85_3_a16/

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