共查询到20条相似文献,搜索用时 46 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
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Lanzhe Liu 《Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)》2010,45(3):136-150
The paper proves some weighted boundedness for the multilinear operators related to some pseudo-differential operators on the generalized Morrey spaces by using the sharp function estimate of the multilinear operators. 相似文献
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We present an abstract result that characterizes the coincidence of certain classes of linear operators with the class of Cohen strongly summing linear operators. Our argument is extended to multilinear operators and, as a consequence, we establish some alternative characterizations for the class of Cohen strongly summing multilinear operators. 相似文献
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We use some interpolation operators and some Bernstein type operators for construction of surfaces which satisfy some given conditions. 相似文献
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Liu Lanzhe 《Mathematical Notes》2010,88(5-6):701-716
In this paper, the endpoint estimates for some multilinear operators related to certain fractional singular integral operators on some Hardy and Herz-type Hardy spaces are obtained. 相似文献
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《Applied Mathematical Modelling》2014,38(9-10):2689-2694
Interval-valued intuitionistic fuzzy prioritized operators are widely used in group decision making under uncertain environment due to its flexibility to model uncertain information. However, there is a shortcoming in the existing aggregation operators (interval-valued intuitionistic fuzzy prioritized weighted average (IVIFPWA)) to deal with group decision making in some extreme situations. For example, when an expert gives an absolute negative evaluation, the operators could lead to irrational results, so that they are not effectively enough to handle group decision making. In this paper, several examples are illustrated to show the unreasonable results in some of these situations. Actually, these unreasonable cases are common for operators in dealing with product averaging, not only emerging in IVIFPWA operators. To overcome the shortcoming of these kinds of operators, an improvement of making slight adjustment on initial evaluations is provided. Numerical examples are used to show the efficiency of the improvement. 相似文献
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Singular integrals and commutators on homogeneous groups 总被引:2,自引:0,他引:2
Let G be a homogeneous group. In this paper, the authors establish several general theorems for the boundedness of sublinear operators and commutators generated by linear operators and BMO(G)functions on the weighted Lebesgue space on G. The conditions of these theorems are satisfied by many important operators in analysis and these operators satisfy only some weak conditions on the size of operators and are known to be bounded in the unweighted case. Some of these theorems are best possible even when G is the Euclidean space. The authors also give some applications of their theorems to the boundedness on weighted spaces of rough singular integrals, oscillatory integrals, parabolic singular integrals, their commutators and the maximal operators associated with them. 相似文献
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In this article, the authors characterize pointwise multipliers for localized Morrey-Campanato spaces, associated with some admissible functions on RD-spaces, which include localized BMO spaces as a special case. The results obtained are applied to Schrödinger operators and some Laguerre operators. 相似文献
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本文讨论了Fock空间上以径向函数和拟齐次函数为符号的Toeplitz算子的代数性质,给出了两个以径向函数为符号的Toeplitz算子的积仍为Toeplitz算子的充分必要条件,并且研究了以拟齐次函数为符号的Toeplitz算子的交换性. 相似文献
13.
Bounded weighted composition operators acting from Hardy to growth spaces on the upper half-plane are characterized. We also give some necessary, as well as some sufficient conditions for the compactness of weighted composition operators between these spaces. 相似文献
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In this paper, we study some algebraic properties of Toeplitz operators with quasihomogeneous symbols on the Dirichlet space of the unit ball Bn. First, we describe commutators of a radial Toeplitz operator and characterize commuting Toeplitz operators with quasihomogeneous symbols. Then we show that finite raak product of such operators only happens in the trivial case. Finally, some necessary and sufficient conditions are given for the product of two quasihomogeneous Toeplitz operators to be a quasihomogeneous Toeplitz operator. 相似文献
16.
The Continuity of Commutators on Triebel-Lizorkin Spaces 总被引:6,自引:0,他引:6
The purpose of this paper is to study the continuity in the context of
Triebel-Lizorkin spaces for some commutators related to certain convolution
operators. The operators include Littlewood-Paley operator, Marcinkiewicz
integral and Bochner-Riesz operator. 相似文献
17.
Z. Suchanecki F. Gómez-Cubillo 《Journal of Mathematical Analysis and Applications》2010,371(2):454-464
We present new general methods to obtain shift representation of evolution semigroups defined on Banach spaces. We introduce the notion of time operator associated with a generalized shift on a Banach space and give some conditions under which time operators can be defined on an arbitrary Banach space. We also tackle the problem of scaling of time operators and obtain a general result about the existence of time operators on Banach spaces satisfying some geometric conditions. The last part of the paper contains some examples of explicit constructions of time operators on function spaces. 相似文献
18.
We investigate some problems for truncated Toeplitz operators. Namely, the solvability of the Riccati operator equation on the set of all truncated Toeplitz operators on the model space K θ = H2ΘθH2 is studied. We study in terms of Berezin symbols invertibility of model operators. We also prove some results for the Berezin number of the truncated Toeplitz operators. Moreover, we study some property for H2-functions in terms of noncyclicity of co-analytic Toeplitz operators and hypercyclicity of model operators. 相似文献
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Yong Chen Young Joo Lee Quang Dieu Nguyen 《Integral Equations and Operator Theory》2011,69(2):183-201
We study some algebraic properties of Toeplitz operators on the harmonic Dirichlet space of the unit disk. We first give a
characterization for boundedness of Toeplitz operators. Next we characterize commuting Toeplitz operators. Also, we study
the product problem of when product of two Toeplitz operators is another Toeplitz operator. The corresponding problems for
compactness are also studied. 相似文献
20.
The fuzzy matrices are successfully used when fuzzy uncertainty occurs in a problem. Fuzzy matrices become popular for last two decades. In this paper, two new binary fuzzy operators ⊕ and ⊙ are introduced for fuzzy matrices. Several properties on ⊕ and ⊙ are presented here. Also, some results on existing operators along with these new operators are presented. 相似文献