共查询到20条相似文献,搜索用时 195 毫秒
1.
This paper concerns with multiple weighted norm inequalities for maximal vector-valued multilinear singular operator and maximal commutators. The Cotlar-type inequality of maximal vector-valued multilinear singular integrals operator is obtained. On the other hand, pointwise estimates for sharp maximal function of two kinds of maximal vector-valued multilinear singular integrals and maximal vector-valued commutators are also established. By the weighted estimates of a class of new variant maximal operator, Cotlar's inequality and the sharp maximal function estimates, multiple weighted strong estimates and weak estimates for maximal vector-valued singular integrals of multilinear operators and those for maximal vector-valued commutator of multilinear singular integrals are obtained. 相似文献
2.
In this paper we study multilinear isometries defined on certain subspaces of vector-valued continuous functions. We provide conditions under which such maps can be properly represented. Our results contain all known results concerning linear and bilinear isometries defined between spaces of continuous functions. The key result is a vector-valued version of the additive Bishop’s Lemma, which we think has interest in itself. 相似文献
3.
In this paper, the authors get the Coifman type weighted estimates and weak weighted LlogL estimates for vector-valued generalized commutators of multilinear fractional integral with w ∈ A∞. Furthermore, both the boundedness of vector-valued multilinear frac- tional integral and the weak weighted LlogL estimates for vector-valued multilinear fractional integral are also obtained. 相似文献
4.
Lanzhe Liu 《Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)》2010,45(4):185-196
Sharp function inequalities for several vector-valued, multilinear singular integral operators with non-smooth kernels are
obtained. As an application, some weighted L
p
(p > 1) norm inequalities for vector-valued multilinear operators are derived. 相似文献
5.
引进了由多重奇异积分和BMO函数生成的多线性交换子,然后得到了此类算子从Lebesgue积空间到Lebesgue空间的有界性,最后也给出了此类算子的加权和向量值不等式. 相似文献
7.
Liu Lanzhe 《Proceedings Mathematical Sciences》2005,115(2):167-190
In this paper, we prove some BMO end-point estimates for some vector-valued multilinear operators related to certain singular
integral operators. 相似文献
8.
The boundedness of vector-valued multilinear commutators of singular integral operators whose kernels are variable with mixed homogeneity on Lebesgue spaces is obtained. 相似文献
9.
10.
Boundedness of multilinear singular integrals and their commutators from products of variable exponent Lebesgue spaces to variable exponent Lebesgue spaces are obtained. The vector-valued case is also considered. 相似文献
11.
In this paper, we obtain that multilinear Calderón-Zygmund operators and their commutators with BMO functions are bounded on products of Herz-Morrey spaces with variable smoothness and integrability. The vector-valued setting of multilinear Calderón-Zygmund operators is also considered. 相似文献
12.
In this paper,on homogeneous groups,we study the Littlewood–Paley operators in variable exponent spaces.First,we prove that the weighted Littlewood–Paley operators are controlled by the weighted Hardy–Littlewood maximal function,and obtain the vector-valued inequalities of the Littlewood–Paley operators,including the Lusin function,Littlewood–Paley g function and gλ* function.Second,we prove the boundedness of multilinear Littlewood–Paley gψ,λ* function. 相似文献
13.
Any real-valued nonlinear function in 0–1 variables can be rewritten as a multilinear function. We discuss classes of lower
and upper bounding linear expressions for multilinear functions in 0–1 variables. For any multilinear inequality in 0–1 variables,
we define an equivalent family of linear inequalities. This family contains the well-known system of generalized covering
inequalities, as well as other linear equivalents of the multilinear inequality that are more compact, i.e., of smaller cardinality.
In a companion paper [7]. we discuss dominance relations between various linear equivalents of a multilinear inequality, and
describe a class of algorithms for multilinear 0–1 programming based on these results.
Research supported by the National Science Foundation under grant ECS7902506 and by the Office of Naval Research under contract
N00014-75-C-0621 NR 047-048. 相似文献
14.
M. Campiti 《Applicable analysis》2013,92(13):2486-2496
We consider some Korovkin-type approximation results for sequences of linear continuous operators in spaces of vector-valued and set-valued continuous functions without assuming the existence of the limit operator. Even in spaces of real continuous functions, where similar results have already been established, we replace the positivity assumption with a weaker condition. We also give some quantitative estimate of the convergence and some applications where previous results cannot be applied. 相似文献
15.
引入了向量值α次熵映射及熵方程的概念,定义并研究了他们的稳定性,证明了:当0〈α≠1时,向量值α次熵方程在Hyers-Ulam意义下是稳定的,给出了向量值α次熵映射的一般形式;证明了向量值α次熵映射序列是稳定的,并给出了向量值α次熵映射序列的一般形式. 相似文献
16.
R. Armario F. J. García-Pacheco F. J. Pérez-Fernández 《Functional Analysis and Its Applications》2013,47(4):315-318
In this brief communication we propose a vector-valued version of Lorentz’ intrinsic characterization of almost convergence, for which we find a legitimate extension of the concept of Banach limit to vector-valued sequences. Banach spaces 1-complemented in their biduals admit vector-valued Banach limits, whereas c 0 does not. 相似文献
17.
We introduce a notion of unconditionally converging multilinear operator which allows to extend many of the results of the linear case to the multilinear case. We prove several characterizations of these multilinear operators (one of which seems to be new also in the linear case), which allow to considerably simplify the work with this kind of operators. 相似文献
18.
In this paper, two kinds of Hadamard well-posedness for vector-valued optimization problems are introduced. By virtue of scalarization
functions, the scalarization theorems of convergence for sequences of vector-valued functions are established. Then, sufficient
conditions of Hadamard well-posedness for vector optimization problems are obtained by using the scalarization theorems. 相似文献
19.
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
20.
We introduce and discuss several ways of extending the inner measure arisen from the closed injective hull of an ideal of linear operators to the multilinear case. In particular, we consider new measures that allow to characterize the operators that belong to a closed injective ideal of multilinear operators as those having measure equal to zero. Some interpolation formulas for these measures, and consequently interpolation results involving ideals of multilinear operators, are established. Examples and applications related to summing multilinear operators are also shown. 相似文献