Zobrazeno 1 - 10
of 117
pro vyhledávání: '"Khoi, Le Hai"'
Autor:
Hu, Bingyang, Khoi, Le Hai
We consider inductive limits of weighted spaces of holomorphic functions in the unit ball of $\mathbb C^n$. The relationship between sets of uniqueness, weakly sufficient sets and sampling sets in these spaces is studied. In particular, the equivalen
Externí odkaz:
http://arxiv.org/abs/1904.10634
Autor:
Tien, Pham Trong, Khoi, Le Hai
We give explicit descriptions of all path connected components and isolated points of both spaces of composition operators and nonzero weighted composition operators acting from a Fock space $\mathcal{F}^p(\mathbb{C}^n)$ to another one $\mathcal{F}^q
Externí odkaz:
http://arxiv.org/abs/1806.00181
Autor:
Tien, Pham Trong, Khoi, Le Hai
We obtain criteria for the boundedness and compactness of weighted composition operators between different Fock spaces in $\mathbb{C}^n$. We also give estimates for essential norm of these operators.
Externí odkaz:
http://arxiv.org/abs/1801.08279
Autor:
Doan, Minh Luan, Khoi, Le Hai
We establish necessary and sufficient conditions for boundedness of composition operators on the most general class of Hilbert spaces of entire Dirichlet series with real frequencies. Depending on whether or not the space contains any nonzero constan
Externí odkaz:
http://arxiv.org/abs/1710.03580
Autor:
Tien, Pham Trong, Khoi, Le Hai
We study some important topological properties such as boundedness, compactness and essential norm of differences of weighted composition operators between Fock spaces
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/1708.06924
Autor:
Tien, Pham Trong, Khoi, Le Hai
We study weighted composition operators acting between Fock spaces. The following results are obtained: (1) Criteria for the boundedness and compactness; (2) Characterizations of compact differences and essential norm; (3) Complete descriptions of pa
Externí odkaz:
http://arxiv.org/abs/1704.03752
We study the structure of $\mathcal{N}_p$-spaces in the ball. In particular, we show that any such space is Moebius-invariant and for $0
Externí odkaz:
http://arxiv.org/abs/1607.07415
Publikováno v:
In Bulletin des sciences mathématiques February 2020 158
Let $T$ be a compact operator on a separable Hilbert space $H$. We show that, for $2\le p<\infty$, $T$ belongs to the Schatten class $S_p$ if and only if $\{\|Tf_n\|\}\in \ell^p$ for \emph{every} frame $\{f_n\}$ in $H$; and for $0
Externí odkaz:
http://arxiv.org/abs/1302.2490