http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
CHARACTERIZATIONS OF BESOV SPACES IN THE UNIT BALL
Songxiao Li 대한수학회 2012 대한수학회보 Vol.49 No.1
In this paper we obtain some new characterizations of Besov spaces on the unit ball of Cn. These characterizations are also completely new even in the settings of the unit disk.
COMPOSITION OPERATORS FROM HARDY SPACES INTO α-BLOCH SPACES ON THE POLYDISK
SONGXIAO LI Korean Mathematical Society 2005 대한수학회논문집 Vol.20 No.4
Let ${\varphi}(z)\;=\;({\varphi}_1(Z),{\cdots},{\varphi}_n(Z))$ be a holomorphic selfmap of $\mathbb{D}^n$, where $\mathbb{D}^n$ is the unit polydisk of $\mathbb{C}^n$. The sufficient and necessary conditions for a composition operator to be bounded and compact from the Hardy space $H^2(\mathbb{D}^n)$ into $\alpha$-Bloch space $\beta^{\alpha}(\mathbb{D}^n)$ on the polydisk are given.
A NOTE OF WEIGHTED COMPOSITION OPERATORS ON BLOCH-TYPE SPACES
Songxiao Li,Jizhen Zhou 대한수학회 2015 대한수학회보 Vol.52 No.5
We obtain a new criterion for the boundedness and compactness of the weighted composition operators ψCφ from Bα(0 < α < 1) to Bβ in terms of the sequence {ψφn}. An estimate for the essential norm of ψCφ is also given.
SOME NEW CHARACTERIZATIONS OF WEIGHTED BERGMAN SPACES
Songxiao Li 대한수학회 2010 대한수학회보 Vol.47 No.6
In this paper we obtain some new characterizations for weigh-ted Bergman spaces in the unit ball of Cn.
Volterra composition operators between weighted bergman spaces and Bloch type spaces
Songxiao Li 대한수학회 2008 대한수학회지 Vol.45 No.1
The boundedness and compactness of the Volterra composition operators between weighted Bergman spaces and Bloch type spaces are discussed in this paper The boundedness and compactness of the Volterra composition operators between weighted Bergman spaces and Bloch type spaces are discussed in this paper
Multipliers of Dirichlet-type subspaces of Bloch space
Songxiao Li,Zengjian Lou,Conghui Shen 대한수학회 2020 대한수학회보 Vol.57 No.2
Let $M(X,Y)$ denote the space of multipliers from $X$ to $Y,$ where $X$ and $Y$ are analytic function spaces. As we known, for Dirichlet-type spaces $\mathcal{D}_{\alpha}^p,$ $M(\mathcal{D}^p_{p-1},\mathcal{D}^q_{q-1})=\{0\},$ if $p\neq q,$ $0<p,q<\infty.$ If $0<p,q<\infty,$ $p\neq q,$ $0<s<1$ such that $p+s,q+s>1,$ then $M(\mathcal{D}^p_{p-2+s},\mathcal{D}^q_{q-2+s})=\{0\}.$ However, $X\cap\mathcal{D}^p_{p-1} \subseteq X\cap\mathcal{D}^q_{q-1}$ and $X\cap \mathcal{D}^p_{p-2+s} \subseteq X\cap \mathcal{D}^q_{q-2+s}$ whenever $X$ is a subspace of the Bloch space $\mathcal{B}$ and $0<p\leq q<\infty.$ This says that the set of multipliers $M(X\cap \mathcal{D}^p_{p-2+s},X\cap\mathcal{D}^q_{q-2+s})$ is nontrivial. In this paper, we study the multipliers $M(X\cap\mathcal{D}^p_{p-2+s},X\cap\mathcal{D}^q_{q-2+s})$ for distinct classical subspaces $X$ of the Bloch space $\mathcal{B},$ where $X=\mathcal{B},$ $BMOA$ or $\H^{\infty}.$
SOME NEW CHARACTERIZATIONS OF WEIGHTED BERGMAN SPACES
Li, Songxiao Korean Mathematical Society 2010 대한수학회보 Vol.47 No.6
In this paper we obtain some new characterizations for weighted Bergman spaces in the unit ball of $\mathbb{C}^n$.
VOLTERRA COMPOSITION OPERATORS BETWEEN WEIGHTED BERGMAN SPACES AND BLOCH TYPE SPACES
Li, Songxiao Korean Mathematical Society 2008 대한수학회지 Vol.45 No.1
The boundedness and compactness of the Volterra composition operators between weighted Bergman spaces and Bloch type spaces are discussed in this paper.
WEIGHTED COMPOSITION OPERATORS FROM BERGMAN SPACES INTO WEIGHTED BLOCH SPACES
LI SONGXIAO Korean Mathematical Society 2005 대한수학회논문집 Vol.20 No.1
In this paper we study bounded and compact weighted composition operator, induced by a fixed analytic function and an analytic self-map of the open unit disk, from Bergman space into weighted Bloch space. As a corollary, obtain the characterization of composition operator from Bergman space into weighted Bloch space.
MULTIPLIERS OF DIRICHLET-TYPE SUBSPACES OF BLOCH SPACE
Li, Songxiao,Lou, Zengjian,Shen, Conghui Korean Mathematical Society 2020 대한수학회보 Vol.57 No.2
Let M(X, Y) denote the space of multipliers from X to Y, where X and Y are analytic function spaces. As we known, for Dirichlet-type spaces 𝓓<sub>α</sub><sup>p</sup>, M(𝓓<sub>p-1</sub><sup>p</sup>, 𝓓<sub>q-1</sub><sup>q</sup>) = {0}, if p ≠ q, 0 < p, q < ∞. If 0 < p, q < ∞, p ≠ q, 0 < s < 1 such that p + s, q + s > 1, then M(𝓓<sub>p-2+s</sub><sup>p</sup>, 𝓓<sub>q-2+s</sub><sup>q</sup>) = {0}. However, X ∩ 𝓓<sub>p-1</sub><sup>p</sup> ⊆ X ∩ 𝓓<sub>q-1</sub><sup>q</sup> and X ∩ 𝓓<sub>p-2+s</sub><sup>p</sup> ⊆ X ∩ 𝓓<sub>q-2+s</sub><sup>p</sup> whenever X is a subspace of the Bloch space 𝓑 and 0 < p ≤ q < ∞. This says that the set of multipliers M(X ∩ 𝓓 <sub>p-2+s</sub><sup>p</sup>, X∩𝓓<sub>q-2+s</sub><sup>q</sup>) is nontrivial. In this paper, we study the multipliers M(X ∩ 𝓓<sub>p-2+s</sub><sup>p</sup>, X ∩ 𝓓<sub>q-2+s</sub><sup>q</sup>) for distinct classical subspaces X of the Bloch space 𝓑, where X = 𝓑, BMOA or 𝓗<sup>∞</sup>.