Nevanlinna factorization in weighted classes of analytic functions of variable smoothness

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Nevanlinna factorization in weighted classes of analytic functions of variable smoothness. / Shirokov, N. A. Shirokov.

In: Izvestiya Mathematics, Vol. 85, No. 3, 06.2021, p. 582-604.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{fb66e69f2571497ba31cbce97f1c7dba,

title = "Nevanlinna factorization in weighted classes of analytic functions of variable smoothness",

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 = "Lebesgue spaces with variable exponent, Muckenhoupt condition, Outer-inner factorization",

author = "Shirokov, {N. A. Shirokov}",

note = "Publisher Copyright: {\textcopyright} 2021 Russian Academy of Sciences (DoM) and London Mathematical Society",

year = "2021",

month = jun,

doi = "10.1070/IM9041",

language = "English",

volume = "85",

pages = "582--604",

journal = "Izvestiya Mathematics",

issn = "1064-5632",

publisher = "IOP Publishing Ltd.",

number = "3",

}

RIS

TY - JOUR

T1 - Nevanlinna factorization in weighted classes of analytic functions of variable smoothness

AU - Shirokov, N. A. Shirokov

PY - 2021/6

Y1 - 2021/6

N2 - 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.

AB - 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.

KW - Lebesgue spaces with variable exponent

KW - Muckenhoupt condition

KW - Outer-inner factorization

UR - https://proxy.library.spbu.ru:2310/article/10.1070/IM9041

UR - http://www.scopus.com/inward/record.url?scp=85110566883&partnerID=8YFLogxK

U2 - 10.1070/IM9041

DO - 10.1070/IM9041

M3 - Article

VL - 85

SP - 582

EP - 604

JO - Izvestiya Mathematics

JF - Izvestiya Mathematics

SN - 1064-5632

IS - 3

ER -

ID: 86250128