共查询到20条相似文献,搜索用时 46 毫秒
1.
Under the assumption that μ is a non-doubling measure on ℝ
d
which only satisfies some growth condition, the authors prove that the maximal multilinear Calderón-Zygmund operator is bounded
from (μ) × … × (μ) into L
p
(μ) for any p
1, … p
m
∈ (1, ∞) and p with 1/p = 1/p
1 + … + 1/p
m
, and bounded from (μ) × … × (μ) into weak-
L
p
(μ) if there exists any p
i
= 1. Furthermore, the authors establish a weighted weak-type estimate for the maximal multilinear Calderón-Zygmund operator.
The second (corresponding) author is supported by Tianyuan Fund of China (No. 10626055) and National Natural Science Foundation
of China (No. 10701078). 相似文献
2.
In this paper we introduce an abstract approach to the notion of absolutely summing multilinear operators. We show that several previous results on different contexts (absolutely summability, almost summability, Cohen summability) are particular cases of our general results. 相似文献
3.
We give the necessary conditions of boundedness of multilinear Hausdorff operators on Lebesgue spaces and λ-central Morrey spaces, respectively, when the kernel functions are nonnegative. Meanwhile, the corresponding operator norms are worked out. ©, 2015, Chinese Academy of Sciences. All right reserved. 相似文献
4.
Verónica Dimant 《Linear and Multilinear Algebra》2019,67(2):248-266
We analyse the interplay between maximal/minimal/adjoint ideals of multilinear operators (between sequence spaces) and their associated Köthe sequence spaces. We establish relationships with spaces of multipliers and apply these results to describe diagonal multilinear operators from Lorentz sequence spaces. We also define and study some properties of the ideal of (E, p)-summing multilinear mappings, a natural extension of the linear ideal of absolutely (E, p)-summing operators. 相似文献
5.
GuoEn Hu 《中国科学 数学(英文版)》2010,53(7):1863-1876
In this paper, by proving some suitable weighted endpoint estimates, and then by multilinear interpolation and a new multilinear extrapolation lemma, the author establishes some weighted estimates for the multilinear Calderón-Zygmund operator. Also, the author gives a weighted estimate for the corresponding commutator. 相似文献
6.
In this paper the boundedness for the multilinear fractional integral operator Iα^(m) on the product of Herz spaces and Herz-Morrey spaces are founded, which improves the Hardy- Littlewood-Sobolev inequality for classical fractional integral Iα. The method given in the note is useful for more general multilinear integral operators. 相似文献
7.
The authors establish λ-central BMO estimates for commutators of maximal multilinear Calderón-Zygmund operators $T_{\Pi \vec b}^*$ and multilinear fractional operators $I_{\alpha \vec b}$ on central Morrey spaces respectively. Similar results still hold for $T_{\vec b} ,T_{\vec b}^*$ and $I_{\alpha ,\vec b}^*$ . 相似文献
8.
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
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14.
Commutators generated by multilinear Calderón-Zygmund type singular integral and Lipschitz functions
In this paper, we establish the boundedness of commutators generated by the multilinear Calderon- Zygmud type singular integrals and Lipschitz functions on the Triebel-Lizorkin space and Lipschitz spaces. 相似文献
15.
16.
17.
Jianglong Wu 《Ukrainian Mathematical Journal》2009,61(10):1684-1693
A boundedness result is established for multilinear singular integral operators on the homogeneous Morrey–Herz spaces. As
applications, two corollaries about interesting cases of the boundedness of the considered operators on the homogeneous Morrey–Herz
spaces are obtained. 相似文献
18.
19.
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
20.
Let(X, d, μ) be a non-homogeneous metric measure space satisfying the so-called upper doubling and geometrically doubling conditions, which includes the space of homogeneous type and the Euclidean space with the non-doubling measure as special cases. Let T be a multilinear Calderón-Zygmund operator and ■:=(b1,..., bm) be a finite family of ■(μ) functions. In this paper, some weak-type multiple weighted estimates for the iterated commutator ■Tgenerated by T and ■ are obtained. 相似文献