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Nevanlinna factorization in weighted classes of analytic functions of variable smoothness. (English. Russian original) Zbl 1479.46024

Izv. Math. 85, No. 3, 582-604 (2021); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 85, No. 3, 261-283 (2021).
Summary: 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.

MSC:

46E10 Topological linear spaces of continuous, differentiable or analytic functions
30H05 Spaces of bounded analytic functions of one complex variable
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