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pro vyhledávání: '"Le, Hai"'
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:
Renon Lim, Le Hai Khoi
Publikováno v:
Journal of Mathematical Analysis and Applications. 464:101-118
We study the complex symmetric structure of weighted composition operators of the form W ψ , φ on the Hilbert space H γ ( D ) of holomorphic functions over the open unit disk D with reproducing kernels K w ( γ ) = ( 1 − w ‾ z ) − γ , where
Publikováno v:
Acta Mathematica Vietnamica. 43:749-759
We study several properties of Rhaly operators on small weighted Hardy spaces of holomorphic functions in the unit disc D. In particular, we obtain criteria for boundedness, compactness, Hilbert-Schmidt norm, and p-Schatten class membership of such o
Autor:
Le Hai Khoi, Bingyang Hu
We consider, in a quite general setting, inductive limits of weighted spaces of holomorphic functions in the unit ball of Cn. The relationship between sets of uniqueness, weakly sufficient sets and sampling sets in these spaces is studied. In particu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cbe524c542e454e6fa186fc5a10ea421
http://arxiv.org/abs/1904.10634
http://arxiv.org/abs/1904.10634
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
Publikováno v:
Vietnam Journal of Mathematics. 44:431-439
We obtain the estimate for the essential norms of weighted composition operators acting from \(\mathcal {N}_{p}\)-spaces into the Beurling/Bergman-type spaces A−q of holomorphic functions in the unit ball. Our results contain the results in the uni
Autor:
Le Hai Khoi, A.V. Abanin
Publikováno v:
Complex Variables and Elliptic Equations. 58:1615-1632
In this article, we give a description, via the Cauchy–Fantappie transformation of analytic functionals, of the mutual dualities between the dual Frechet–Schwartz (FS)-space A −∞(Ω) of holomorphic functions in a bounded lineally convex domai
Autor:
Le Hai Khoi, Alexander V. Abanin
Publikováno v:
Comptes Rendus Mathematique. 349:1155-1158
In this Note we present the following results: (i) a description, via the Cauchy–Fantappie transformation of analytic functionals, of the mutual dualities between the (DFS)-space A−∞(Ω) of holomorphic functions in a bounded lineally convex dom
Publikováno v:
Journal of Approximation Theory. 163:1534-1545
We study a minimal property of absolutely representing systems of exponentials E Λ = ( e λ k z ) in the space A − ∞ ( Ω ) of holomorphic functions in a bounded convex domain Ω of the complex plane C , with polynomial growth near the boundary.
Publikováno v:
Complex Variables and Elliptic Equations. 54:879-897
This article studies the space A −∞(Ω), the function algebra of holomorphic functions on a domain Ω with 𝒞1 boundary in ℂ n with polynomial growth. In particular, we present an explicit construction of countable subset that is weakly suffi