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 
@article{IM2_2021_85_3_a16,
     author = {N. A. Shirokov},
     title = {Nevanlinna factorization in weighted classes of  analytic functions of~variable smoothness},
     journal = {Izvestiya. Mathematics },
     pages = {582--604},
     publisher = {mathdoc},
     volume = {85},
     number = {3},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2021_85_3_a16/}
}
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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/