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Izvestiya: Mathematics, 2021, Volume 85, Issue 3, Pages 582–604
DOI: https://doi.org/10.1070/IM9041 (Mi im9041) 		 
Nevanlinna factorization in weighted classes of analytic functions of variable smoothness

N. A. Shirokovab

a Saint Petersburg State University
b Saint Petersburg Electrotechnical University "LETI"
English version PDF (600 kB) Russian version article
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DOI: https://doi.org/10.1070/IM9041
Abstract: 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, Lebesgue spaces with variable exponent, Muckenhoupt condition.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00209
This research was supported by the Russian Foundation for Basic Research (grant no. 20-01-00209).
Received: 25.03.2020
Bibliographic databases:
Document Type: Article
UDC: 517.547
MSC: Primary 46E10; Secondary 30H05
Language: English
Original paper language: Russian
Citation: N. A. Shirokov, “Nevanlinna factorization in weighted classes of analytic functions of variable smoothness”, Izv. Math., 85:3 (2021), 582–604
Citation in format AMSBIB
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\by N.~A.~Shirokov
\paper Nevanlinna factorization in weighted classes of analytic functions of~variable smoothness
\jour Izv. Math.
\yr 2021
\vol 85
\issue 3
\pages 582--604
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  • https://doi.org/10.1070/IM9041
  • https://www.mathnet.ru/eng/im/v85/i3/p261
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:288
    Russian version PDF:40
    English version PDF:26
    Russian version HTML:102
    References:40
    First page:16
     
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