共查询到20条相似文献,搜索用时 15 毫秒
1.
In this paper, we characterize the boundedness and compactness of the weighted composition operators from the weighted Bergman space to the standard mixed-norm space or the mixed-norm space with normal weight on the unit ball and estimate the essential norms of the weighted composition operators. 相似文献
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.
This paper gives a note on weighted composition operators on the weighted Bergman space, which shows that for a fixed composition symbol, the weighted composition operators are bounded on the weighted Bergman space only with bounded weighted symbols if and only if the composition symbol is a finite Blaschke product. 相似文献
4.
Henrik Petersson 《Journal of Mathematical Analysis and Applications》2006,319(2):764-782
A continuous linear operator is hypercyclic if there is an x∈X such that the orbit {Tnx} is dense, and such a vector x is said to be hypercyclic for T. Recent progress show that it is possible to characterize Banach space operators that have a hypercyclic subspace, i.e., an infinite dimensional closed subspace H⊆X of, except for zero, hypercyclic vectors. The following is known to hold: A Banach space operator T has a hypercyclic subspace if there is a sequence (ni) and an infinite dimensional closed subspace E⊆X such that T is hereditarily hypercyclic for (ni) and Tni→0 pointwise on E. In this note we extend this result to the setting of Fréchet spaces that admit a continuous norm, and study some applications for important function spaces. As an application we also prove that any infinite dimensional separable Fréchet space with a continuous norm admits an operator with a hypercyclic subspace. 相似文献
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6.
Nathan S. Feldman 《Proceedings of the American Mathematical Society》2003,131(2):479-485
We give a characterization of the invertible bilateral weighted shifts that are hypercyclic or supercyclic. Although there is a general characterization due to H. Salas, in the invertible case the conditions simplify greatly.
7.
加权Lorentz空间上的Littlewood-Paley算子 总被引:6,自引:1,他引:5
本文证明了一个与Littlewood-Paley算子有关的不等式,由此导出Littlewood-Paley算子在加权Lorentz空间的有界特征. 相似文献
8.
Gajath Gunatillake Mirjana Jovovic Wayne Smith 《Journal of Mathematical Analysis and Applications》2014
The operator that takes the function f to ψf°φ is a weighted composition operator. We study numerical ranges of some classes of weighted composition operators on H2, the Hardy–Hilbert space of the unit disc. We consider the case where φ is a rotation of the unit disc and identify a class of convexoid operators. In the case of isometric weighted composition operators we give a complete classification of their numerical ranges. We also consider the inclusion of zero in the interior of the numerical range. 相似文献
9.
E.G. Kwon 《Journal of Mathematical Analysis and Applications》2008,338(2):758-770
Let 0?α<∞, 0<p<∞, and p−α>−2. If f is holomorphic in the unit disc D and if ω is a radial weight function of secure type, then the followings are equivalent:
10.
Stevo Stevi? 《Applied mathematics and computation》2010,217(7):3379-3384
The boundedness of the composition operator from the weighted Bergman space to, recently introduced by this author, the nth weighted-type space on the upper half-plane are characterized here. 相似文献
11.
Raú l E. Curto Il Bong Jung Woo Young Lee 《Proceedings of the American Mathematical Society》2002,130(2):565-576
Given an -step extension of a recursively generated weight sequence , and if denotes the associated unilateral weighted shift, we prove that
In particular, the subnormality of an extension of a recursively generated weighted shift is independent of its length if the length is bigger than 1. As a consequence we see that if is a canonical rank-one perturbation of the recursive weight sequence , then subnormality and -hyponormality for eventually coincide. We then examine a converse--an ``extremality" problem: Let be a canonical rank-one perturbation of a weight sequence and assume that -hyponormality and -hyponormality for coincide. We show that is recursively generated, i.e., is recursive subnormal.
1).\end{cases}\end{displaymath}">
In particular, the subnormality of an extension of a recursively generated weighted shift is independent of its length if the length is bigger than 1. As a consequence we see that if is a canonical rank-one perturbation of the recursive weight sequence , then subnormality and -hyponormality for eventually coincide. We then examine a converse--an ``extremality" problem: Let be a canonical rank-one perturbation of a weight sequence and assume that -hyponormality and -hyponormality for coincide. We show that is recursively generated, i.e., is recursive subnormal.
12.
Shao Guang Shi 《数学学报(英文版)》2013,29(5):883-896
In this paper, we introduce weighted vector-valued Morrey spaces and obtain some estimates for vector-valued commutators on these spaces. Applications to Calderón-Zygmund singular integral operators, oscillatory singular integral operators and parabolic difference equations are considered. 相似文献
13.
In this paper, we completely characterize the compactness of Toeplitz operators with continuous symbol on the weighted Dirichlet space. 相似文献
14.
A weighted Drazin inverse and applications 总被引:5,自引:0,他引:5
In this paper the notation of the Cline–Greville W-weighted Drazin inverse of a rectangular matrix is extended to bounded linear operators between Banach spaces. We give new characterizations of the W-weighted Drazin inverse, and we study the perturbations and the the continuity of the W-weighted Drazin inverse. 相似文献
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16.
Let be a weight sequence of positive real numbers and let be a subnormal weighted shift with a weight sequence . Consider an extended weight sequence with and let 0: W_{\alpha (x)} \text{is} k \text{-hyponormal}\}$">for , where is the set of natural numbers. We obtain a formula to find the interval , which provides several examples to distinguish the classes of -hyponormal operators from one another.
17.
Ju Youn Bae Il Bong Jung George R. Exner 《Proceedings of the American Mathematical Society》2002,130(11):3287-3294
For bounded linear operators on Hilbert space, positive quadratic hyponormality is a property strictly between subnormality and hyponormality and which is of use in exploring the gap between these more familiar properties. Recently several related positively quadratically hyponormal weighted shifts have been constructed. In this note we establish general criteria for the positive quadratic hyponormality of weighted shifts which easily yield the results for these examples and other such weighted shifts.
18.
We study convergence rates for weighted sums of pairwise independent random variables in a noncommutative probability space of which the weights are in a von Neumann algebra. As applications, we first study convergence rates for weighted sums of random variables in the noncommutative Lorentz space, and second we study convergence rates for weighted sums of probability measures with respect to the free additive convolution. 相似文献
19.
《Mathematische Nachrichten》2017,290(11-12):1612-1629
We show that a weighted shift on a directed tree is related to a multiplier algebra of coefficients of analytic functions. We use this relation to study spectral properties of the operator in question. 相似文献
20.
Stevo Stevi 《Applied mathematics and computation》2009,215(6):2199-2205
Let H(X) be the class of all holomorphic functions on the set and uH(X). We calculate operator norms of the multiplication operators Mu(f)=uf, on the weighted Bergman space , as well as on the Hardy space Hp(X), where X is the unit polydisk or the unit ball in . We also calculate the norm of the weighted composition operator from the weighted Bergman space , and the Hardy space , to a weighted-type space on the unit polydisk. 相似文献