Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Alexander V. Abanin"'
Publikováno v:
UNIVERSITY NEWS. NORTH-CAUCASIAN REGION. NATURAL SCIENCES SERIES. :83-89
We state conditions under which some classical operators acting from abstract quasi-Banach spaces of functions holomorphic in a plain domain into a weighted space of the same functions with sup-norm are compact. It is obtained abstract criteria for t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f5ed74e554506453f2a19743f2157fc7
https://doi.org/10.18522/1026-2237-2022-4-1-83-89
https://doi.org/10.18522/1026-2237-2022-4-1-83-89
The topological structure of the set of (weighted) composition operators has been studied on various function spaces on the unit disc such as Hardy spaces, the space of bounded holomorphic functions, weighted Banach spaces of holomorphic functions wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5d475f3c56369984e1b68cb9d68b8de5
https://hdl.handle.net/10356/159740
https://hdl.handle.net/10356/159740
Autor:
Alexander V. Abanin, Pham Trong Tien
Publikováno v:
Complex Analysis and Operator Theory. 13:341-349
We study topological properties of weighted (LB)-spaces of holomorphic functions on open sets with o-growth condition. We show that such spaces are semi-Montel if and only if they are (DFS). We also establish that, for a wide family of open sets, som
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::09ca870181ea8937b5d55085ede67a8e
https://doi.org/10.1007/s11785-018-0792-7
https://doi.org/10.1007/s11785-018-0792-7
Publikováno v:
Matematicheskie Zametki. 104:323-335
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6b37c6aede3f71e2fea200144c90a4e0
https://doi.org/10.4213/mzm12107
https://doi.org/10.4213/mzm12107
Autor:
Pham Trong Tien, Alexander V. Abanin
Publikováno v:
Integral Equations and Operator Theory. 89:409-438
We develop an approach to describe invariant subspaces of the integration operator on various scales of weighted spaces of holomorphic functions on the unit disk and the complex plane. It allows us to solve the problem for wide classes of Bergman, Bl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aec3aaeedd9bd56f9589a3268029c812
https://doi.org/10.1007/s00020-017-2401-y
https://doi.org/10.1007/s00020-017-2401-y
Autor:
Alexander V. Abanin, T. I. Abanina
Publikováno v:
Russian Mathematics. 61:1-4
We obtain a complete description of families of continuous and compact composition operators on Hilbert spaces of entire functions. These operators were introduced by K. Chan and J. Shapiro for studying some dynamic properties of translation operator
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e76ae077297637423d013af708e7e6c
https://doi.org/10.3103/s1066369x17100012
https://doi.org/10.3103/s1066369x17100012
We consider the topological structure problem for the space of composition operators as well as the space of weighted composition operators on weighted Banach spaces with sup-norm. For the first space, we prove that the set of all composition operato
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b2f384ac70023dce08d71cd958248045
https://hdl.handle.net/10356/150814
https://hdl.handle.net/10356/150814
Autor:
Pham Trong Tien, Alexander V. Abanin
Publikováno v:
Mathematische Nachrichten. 290:1144-1162
We obtain a new natural description of the class of radial weights for which some previous results of A. Harutyunyan and W. Lusky concerning the boundedness of differentiation and integration operators on corresponding spaces are valid. To do this, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b481b3a3011340933f5221fcfe9e7aa1
https://doi.org/10.1002/mana.201500405
https://doi.org/10.1002/mana.201500405
Autor:
Pham Trong Tien, Alexander V. Abanin
Publikováno v:
Collectanea Mathematica. 69:1-15
Motivated by some recent results on the boundedness and dynamical properties of the differentiation and integration operators in weighted Banach spaces of holomorphic functions, we study conditions on weights that guarantee the compactness of these t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b2d75c9a9c8f55c1aa32fc041416a00
https://doi.org/10.1007/s13348-016-0185-z
https://doi.org/10.1007/s13348-016-0185-z
Autor:
Alexander V. Abanin
Publikováno v:
Complex Analysis and Operator Theory. 12:1401-1419
Recently we have described the topological structure of sampling sets for the Hormander algebra \(A^{-\infty }({\mathbb B}^N)\) of holomorphic functions of polynomial growth in the unit ball \({\mathbb B}^N\) of \({\mathbb C}^N\). In this paper we sh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bb6c81329bac47624166dc7d72e44207
https://doi.org/10.1007/s11785-016-0560-5
https://doi.org/10.1007/s11785-016-0560-5