共查询到20条相似文献,搜索用时 15 毫秒
1.
2.
Zhi Jie Jiang 《Applied mathematics and computation》2010,217(7):3522-3530
We characterize the compactness of differences of weighted composition operators from the weighted Bergman space , 0 < p < ∞, α > −1, to the weighted-type space of analytic functions on the open unit disk D in terms of inducing symbols and . For the case 1 < p < ∞ we find an asymptotically equivalent expression to the essential norm of these operators. 相似文献
3.
Positivity - Recently, Gao et al. (Chin Ann Math 37B:585–594, 2016) proved a sufficient condition for order boundedness of a weighted composition operator acting between Dirichlet spaces. In... 相似文献
4.
We characterize the compactness of composition operators acting on a large family of Hilbert spaces of analytic functions which lie between Bergman and Dirichlet spaces. Our characterization is given in terms of generalized Nevanlinna counting functions. 相似文献
5.
Nina Zorboska 《Proceedings of the American Mathematical Society》1998,126(7):2013-2023
We characterize bounded and compact composition operators on weighted Dirichlet spaces. The method involves integral averages of the determining function for the operator, and the connection between composition operators on Dirichlet spaces and Toeplitz operators on Bergman spaces. We also present several examples and counter-examples that point out the borderlines of the result and its connections to other themes.
6.
Compact and weakly compact weighted composition operators on weighted spaces of continuous functions
In this note we characterize the compact and weakly compact weighted composition operatorsW
, on certain weighted locally convex spacesCV
o(X, E) of vector-valued continuous functions induced by self maps ofX and the operator-valued mappings XB(E).The work of this author was supported in part by CSIR Grant 9/100/92-EMR-IThe work of this author was supported in part by UGC Grant F.8-7/91 (RBB-II) 相似文献
7.
In this paper, we completely characterize the compactness of Toeplitz operators with continuous symbol on the weighted Dirichlet space. 相似文献
8.
Maria Tjani 《Transactions of the American Mathematical Society》2003,355(11):4683-4698
We give a Carleson measure characterization of the compact composition operators on Besov spaces. We use this characterization to show that every compact composition operator on a Besov space is compact on the Bloch space. Finally we give conditions that guarantee that the converse holds.
9.
We investigate isometric composition operators on the weighted Dirichlet space \({D_\alpha }\) with standard weights \({(1 - {\left| z \right|^2})^\alpha },\alpha > - 1\). The main technique used comes from Martín and Vukoti? who completely characterized the isometric composition operators on the classical Dirichlet space D. We solve some of these but not in general. We also investigate the situation when \({D_\alpha }\) is equipped with another equivalent norm. 相似文献
10.
В статье дается харак теризация обратимых весовых операторов композиц ии, определенных на весо вых локально выпуклы х пространствах непре рывных функций и на весовых п ространствах сечени й, задаваемых семейств ом полунорм, являющихся весовыми аналогами равномерн ой нормы. 相似文献
11.
Sei-ichiro Ueki 《Archiv der Mathematik》2009,93(5):461-473
In this paper, we study a composition operator ${C_{\varphi}}$ on the weighted Bergman space ${A_{\alpha}^p(B)}$ of the unit ball B in ${{\mathbb{C}}^N}$ . Under a natural condition we estimate the essential norm of ${C_{\varphi}}$ . As a consequence of this estimate, we also give a function-theoretic characterization of ${\varphi}$ that induces a compact composition operator on ${A_{\alpha}^p(B)}$ . 相似文献
12.
王茂发 《数学物理学报(B辑英文版)》2011,31(2):641-651
In this article, we study the boundedness of weighted composition operators between different vector-valued Dirichlet spaces. Some sufficient and necessary conditions for such operators to be bounded are obtained exactly, which are different completely from the scalar-valued case. As applications, we show that these vector-valued Dirichlet spaces are different counterparts of the classical scalar-valued Dirichlet space and characterize the boundedness of multiplication operators between these different spaces. 相似文献
13.
Jennifer Moorhouse 《Journal of Functional Analysis》2005,219(1):70-92
A characterization of compact difference is given for composition operators acting on the standard weighted Bergman spaces and necessary conditions are given on a larger scale of weighted Dirichlet spaces. Conditions are given under which a composition operator can be written as a finite sum of composition operators modulo the compacts. The additive structure of the space of composition operators modulo the compact operators is investigated further and a sufficient condition is given to insure that two composition operators lie in the same component. 相似文献
14.
Tesfa Mengestie 《Archiv der Mathematik》2013,101(4):349-360
We describe the Schatten class weighted composition operators on Fock–Sobolev spaces and a large class of weighted Fock spaces, where the weights defining such spaces are radial, decay at least as fast as the classical Gaussian weight, and satisfy certain mild smoothness condition. To prove our main results, we characterize the Schatten class membership of the Toeplitz operators T μ induced by nonnegative measures μ on the complex space ${\mathbb{C}^n}$ . 相似文献
15.
We determine the adjoint of a multiplication operator with rational symbol u acting on various spaces of analytic functions, in which the denominator of u is a product of distinct linear factors. We use the results to represent the adjoints of weighted composition operators with rational symbols on the Hardy, Bergman and Dirichlet spaces. 相似文献
16.
Gajath Gunatillake 《Proceedings of the American Mathematical Society》2008,136(8):2895-2899
A weighted composition operator takes an analytic map on the open unit disk of the complex plane to the analytic map , where is an analytic map of the open unit disk into itself and is an analytic map on the open unit disk. This paper studies how the compactness of depends on the interaction between the two maps and .
17.
18.
The norm of a bounded composition operator induced by a disc automorphism is estimated on weighted Hardy spaces H 2(β) in which the classical Hardy space is continuously embedded. The estimate obtained is accurate in the sense that it provides the exact norm for particular instances of the sequence β. As a by-product of our results, an estimate for the norm of any bounded composition operator on H 2(β) is obtained. 相似文献
19.