TY - JOUR
T1 - Nevanlinna factorization in weighted classes of analytic functions of variable smoothness
AU - Shirokov, N. A. Shirokov
N1 - Publisher Copyright:
© 2021 Russian Academy of Sciences (DoM) and London Mathematical Society
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 -