共查询到20条相似文献,搜索用时 875 毫秒
1.
本证明明了多线性Littlewood—Patey算子在一类H^1空间上的加权有界性。 相似文献
2.
Valentin Matache 《Proceedings of the American Mathematical Society》1999,127(5):1483-1491
We consider composition operators on Hardy spaces of a half-plane. We mainly study boundedness and compactness. We prove that on these spaces there are no compact composition operators.
3.
本文主要研究Toeplitz算子相对于一对置换的共轭算子是2-复对称的充要条件. 首先在经典的Hardy空间上介绍一类被称为一对置换的共轭算子, 其次完整地刻画了在这类共轭算子下Toeplitz算子是2-复对称的结构, 利用Toeplitz算子在Hardy空间的经典正规正交基下的矩阵表示来刻画2-复对称Toeplitz算子. 最后对于Toeplitz算子分别补充前提$f_n=-f_{-n}$和$f_n=f_{-n}$, 得到了更简化的结果. 在第二个前提下, 研究Toeplitz算子的3-复对称性, 得到$T_f$关于$C_{(i,j)}$是3-CSO的结果和是2-CSO相同. 相似文献
4.
Josh Isralowitz 《Journal of Mathematical Analysis and Applications》2011,374(2):554-557
In this note, we show that Miao and Zheng's characterization of compact operators on the Bergman space of the unit disk that are finite sums of finite products of Toeplitz operators (with each one of the symbols belonging to BT) also holds for the Segal-Bargmann space of Cn. 相似文献
5.
The authors mainly study the Hausdorff operators on Euclidean space Rn.They establish boundedness of the Hausdorff operators in various function spaces,such as Lebesgue spaces,Hardy spaces,local Hardy ... 相似文献
6.
应用复合算子研究E0(p,q)空间,当p=2时,它就是Qq,0,当P>0且q>1时,它就是小 Bloch空间B0.讨论了复合算子的紧性并利用Carleson测度给出复合算子是紧的判别准则. 相似文献
7.
映人E0(p,q)的紧复合算子 总被引:3,自引:2,他引:1
应用复合算子研究E0(p,q)空间,当p=2时,它就是Qq,0,当P>0且q>1时,它就是小 Bloch空间B0.讨论了复合算子的紧性并利用Carleson测度给出复合算子是紧的判别准则. 相似文献
8.
9.
In this paper, we prove that a composition operator onH
p
(B) is Fredholm if and only if it is invertible if and only if its symbol is an automorphism onB, and give the representation of the spectra of a class of composition operators. In addition, using composition operator,
we discuss intertwining Toeplitz operators.
Supported by NNSF and PDSF 相似文献
10.
In this paper, by discovering a new fact that the Lebesgue boundedness of a class of pseudo- differential operators implies the Sobolev boundedness of another related class of pseudo-differential operators, the authors establish the boundedness of pseudo-differential operators with symbols in Sρ,δ^m on Sobolev spaces, where ∈ R, ρ≤ 1 and δ≤ 1. As its applications, the boundedness of commutators generated by pseudo-differential operators on Sobolev and Bessel potential spaces is deduced. Moreover, the boundedness of pseudo-differential operators on Lipschitz spaces is also obtained. 相似文献
11.
M. Yahdi 《Proceedings of the American Mathematical Society》2006,134(9):2613-2620
The aim of this work is to study operators naturally connected to Ergodic operators in infinite-dimensional Banach spaces, such as Uniform-Ergodic, Cesaro-bounded and Power-bounded operators, as well as stable and superstable operators. In particular, super-Ergodic operators are introduced and shown to be strictly between Ergodic and Uniform-Ergodic operators, and that any power bounded operator is super-Ergodic in a superreflexive space. New relationships between these operators are shown, others are proven to be optimal or can be ameliorated according to structural properties of the Banach space, such as the superreflexivity or with unconditional basis.
12.
We study approximation properties of certain nonlinear integral operators L
n
* obtained by a modification of given operators L
n
. The operators L
n;r
and L
n;r
* of r-times differentiable functions are also studied.
We give theorems on approximation orders of functions by these operators in polynomial weight spaces. 相似文献
13.
In this paper, we study composition operators on a Banach space of analytic functions, denoted byX, which includes the Bloch space. This space arises naturally as the dual space of analytic functions in the Bergman spaceL
α
1
(D) which admit an atomic decomposition. We characterize the functions which induce compact composition operators and those
which induce Fredholm operatorson this space. We also investigate when a composition operator has a closed range.
Supported by NNSFC No.19671036 相似文献
14.
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
15.
In this paper, we obtain the continuity for some multilinear operators related to certain non-convolution operators on the
Triebel-Lizorkin space. The operators include Littlewood-Paley operator and Marcinkiewicz operator. 相似文献
16.
Products of integral-type operators and composition operators from the mixed norm space to Bloch-type spaces 总被引:1,自引:0,他引:1
Siberian Mathematical Journal - We give a complete picture of the boundedness and compactness of the products of integral-type operators and composition operators from the mixed norm space to... 相似文献
17.
一类多线性积分算子的端点有界性 总被引:3,自引:0,他引:3
本文对一类相关于非卷积型算子的多线性算子,证明了其在端点情形上的有界性,该算子包括Littlewood-Paley算子和Marcinkiewicz算子. 相似文献
18.
We give criteria for the membership of Toeplitz operators and products of Hankel operators, with symbols of a certain type, in the Dixmier class, and formulas for their Dixmier trace, on a variety of weighted Segal–Bargmann–Fock spaces on the complex plane. 相似文献
19.
On a class of Szász-Mirakyan type operators 总被引:1,自引:0,他引:1
Zbigniew Walczak 《Czechoslovak Mathematical Journal》2008,58(3):705-716
The actual construction of the Szász-Mirakyan operators and its various modifications require estimations of infinite series
which in a certain sense restrict their usefulness from the computational point of view. Thus the question arises whether
the Szász-Mirakyan operators and their generalizations cannot be replaced by a finite sum. In connection with this question
we propose a new family of linear positive operators. 相似文献
20.
Products of integral-type operators and composition operators between Bloch-type spaces 总被引:1,自引:0,他引:1
Songxiao Li 《Journal of Mathematical Analysis and Applications》2009,349(2):596-610
A complete picture on the boundedness and compactness of the products of integral-type operators and composition operators between Bloch-type spaces of holomorphic functions on the unit disk is given in this paper. 相似文献