Zobrazeno 1 - 10
of 126
pro vyhledávání: '"Cao Guangfu"'
Publikováno v:
Journal of Water Reuse and Desalination, Vol 10, Iss 1, Pp 30-44 (2020)
To offer an alternative for supplying fresh water to people in distress in tropical seas before rescue or to garrison soldiers on a small reef, a portable solar-photovoltaic atmospheric water generator was designed and tested experimentally, and is c
Externí odkaz:
https://doaj.org/article/9ca306ffd3464d149c4667fb2bb3a596
Autor:
Cao, Guangfu, He, Li
It is well known that the composition operator on Hardy or Bergman space has a closed range if and only if its Navanlinna counting function induces a reverse Carleson measure. Similar conclusion is not available on the Dirichlet space. Specifically,
Externí odkaz:
http://arxiv.org/abs/2304.01497
Let $B(\Omega)$ be the Banach space of holomorphic functions on a bounded connected domain $\Omega$ in $\mathbb C^n$, which contains the ring of polynomials on $\Omega $. In this paper, we first establish a criterion for $B(\Omega )$ to be reflexive
Externí odkaz:
http://arxiv.org/abs/2211.12236
Autor:
Cao, Guangfu, Li, Haichou
As continuation of the study of polynomial approximation and composition operators on Dirichlet spaces of unit disk, which has settled a problem posed by Cima in 1976, the present paper aims to consider the case of the unbounded domains, such as the
Externí odkaz:
http://arxiv.org/abs/2202.12112
In this paper, we investigate the boundedness of Toeplitz product $T_{f}T_{g}$ and Hankel product $H_{f}^{*} H_{g}$ on Fock-Sobolev space for two polynomials $f$ and $g$ in $z,\overline{z}\in\mathbb{C}^{n}$. As a result, the boundedness of Toeplitz o
Externí odkaz:
http://arxiv.org/abs/2107.13688
For any real $\beta$ let $H^2_\beta$ be the Hardy-Sobolev space on the unit disc $\mathbb{D}$. $H^2_\beta$ is a reproducing kernel Hilbert space and its reproducing kernel is bounded when $\beta>1/2$. In this paper, we characterize that for a non-con
Externí odkaz:
http://arxiv.org/abs/2101.03659
We provide a boundedness criterion for the integral operator $S_{\varphi}$ on the fractional Fock-Sobolev space $F^{s,2}(\mathbb C^n)$, $s\geq 0$, where $S_{\varphi}$ (introduced by Kehe Zhu) is given by \begin{eqnarray*} S_{\varphi}F(z):= \int_{\mat
Externí odkaz:
http://arxiv.org/abs/2101.03535
Autor:
Jiang Zhijie, Cao Guangfu
Publikováno v:
Journal of Inequalities and Applications, Vol 2009, Iss 1, p 832686 (2009)
Let denote the open unit disk in the complex plane and let denote the normalized area measure on . For and a twice differentiable, nonconstant, nondecreasing, nonnegative, and convex function on , the Bergman-Orlicz space is defined as follows Let be
Externí odkaz:
https://doaj.org/article/4882769b013543a78dc9c65bbb63e8f1
We show that for an entire function $\varphi$ belonging to the Fock space ${\mathscr F}^2(\mathbb{C}^n)$ on the complex Euclidean space $\mathbb{C}^n$, the integral operator \begin{eqnarray*} S_{\varphi}F(z)=\int_{\mathbb{C}^n} F(w) e^{z \cdot\bar{w}
Externí odkaz:
http://arxiv.org/abs/1907.00574
For a pointwise multiplier $\varphi$ of the Hardy-Sobolev space $H^2_\beta$ on the open unit ball $\bn$ in $\cn$, we study spectral properties of the multiplication operator $M_\varphi: H^2_\beta\to H^2_\beta$. In particular, we compute the spectrum
Externí odkaz:
http://arxiv.org/abs/1709.02047