共查询到20条相似文献,搜索用时 140 毫秒
1.
Shi and Tao[6] studied the boundedness of multilinear fractional integrals introduced by Kenig and Stein[3] on product of
weighted L
p
-spaces, and got some results. We give some remarks with respect to their results and correct some mistakes. We also consider
another multilinear fractional integral introduced by Grafakos[2]. 相似文献
2.
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
3.
Xiangxing Tao Taotao Zheng 《NoDEA : Nonlinear Differential Equations and Applications》2011,18(3):287-308
In this paper, the authors study the boundedness of multilinear fractional integrals on the product Morrey space with non-doubling
measure, and investigate the Morrey boundedness properties of the multilinear commutators generated by multilinear fractional
integral operators with a tuple of RBMO functions. 相似文献
4.
Weighted Boundedness for a Class of Rough Multilinear Operators 总被引:8,自引:0,他引:8
In this paper we give the (L
p
(ω
p
), L
q
(ω
q
)) boundedness for a class of multilinear operators, which is simular to the higher-order commutator for the rough fractional
integral. In our results the kernel function is merely assumed on a size condition.
Received August 21, 2000, Accepted October 24, 2000 相似文献
5.
We establish sharp estimates for some multilinear commutators related to the Littlewood-Paley and Marcinkiewicz operators.
As an application, we obtain the weighted norm inequalities and L log L type estimate for the multilinear commutators.
相似文献
6.
Summary We study a Banach space valued random multilinear forms in independent real random variables extensively using the concept of hypercontractive maps between L
q-spaces. We show that multilinear forms share with linear forms a lot of properties, like comparability of L
q-,L
0-and almost sure convergence.This author's contribution to a revision of this paper was supported by AFOSR Grant No. F49620 85C 0144 相似文献
7.
Gladis Pradolini 《Journal of Mathematical Analysis and Applications》2010,367(2):640-656
In this article we prove weighted norm inequalities and pointwise estimates between the multilinear fractional integral operator and the multilinear fractional maximal. As a consequence of these estimations we obtain weighted weak and strong inequalities for the multilinear fractional maximal operator or function. In particular, we extend some results given in Carro et al. (2005) [7] to the multilinear context. On the other hand we prove weighted pointwise estimates between the multilinear fractional maximal operator Mα,B associated to a Young function B and the multilinear maximal operators Mψ=M0,ψ, ψ(t)=B(t1−α/(nm))nm/(nm−α). As an application of these estimate we obtain a direct proof of the Lp−Lq boundedness results of Mα,B for the case B(t)=t and Bk(t)=tk(1+log+t) when 1/q=1/p−α/n. We also give sufficient conditions on the weights involved in the boundedness results of Mα,B that generalizes those given in Moen (2009) [22] for B(t)=t. Finally, we prove some boundedness results in Banach function spaces for a generalized version of the multilinear fractional maximal operator. 相似文献
8.
We obtain sharp estimates for some multilinear commutators related to certain sublinear integral operators. These operators
include the Littlewood-Paley operator and Marcinkiewicz operator. As an application, we obtain weighted L
p
(p > 1) inequalities and an L log L-type estimate for multilinear commutators.
Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 10, pp. 1419–1431, October, 2007. 相似文献
9.
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
10.
Jun Feng LI 《数学学报(英文版)》2005,21(6):1495-1508
In this paper, the author obtains that the multilinear operators of strongly singular integral operators and their dual operators are bounded from some L^p(R^n) to L^p(R^n) when the m-th order derivatives of A belong to L^p(R^n) for r large enough. By this result, the author gets the estimates for the Sharp maximal functions of the multilinear operators with the m-th order derivatives of A being Lipschitz functions. It follows that the multilinear operators are (L^p, L^p)-type operators for 1 〈 p 〈 ∞. 相似文献
11.
Zeng Yan Si 《数学学报(英文版)》2010,26(11):2093-2108
The author establishes λ-central BMO estimates for commutators of multilinear fractional integral operators on central Morrey spaces. 相似文献
12.
Jing-shi XU Department of Mathematics Hunan Normal University Changsha China 《中国科学A辑(英文版)》2007,50(3):361-376
The boundedness in Lebesgue spaces for commutators generated by multilinear singular integrals and RBMO(μ) functions of Tolsa with non-doubling measures is obtained, provided that‖μ‖=∞and multilinear singular integrals are bounded from L1(μ)×L1(μ)to L1/2,∞(μ). 相似文献
13.
L p -boundedness is obtained for a class of multilinear oscillatory singular integrals with Calderón-Zygmund kernel. 相似文献
14.
ON MULTILINEAR COMMUTATORS OF Θ-TYPE CALDERóN-ZYGMUND OPERATORS 总被引:2,自引:1,他引:1
In this paper, we discuss the multilinear commutator of θ-type Calderón- Zygmund operators, and obtain that this kind of multilinear commutators is bounded from Lp(Rn) to Lq(Rn), from Lp(Rn) to Triebel-Lizorkin spaces and on certain Hardy type spaces. 相似文献
15.
A sharp inequality for a multilinear commutator related to the Marcinkiewicz operator is proved. As a consequence, weighted
Lp-norm inequality for the multilinear commutator for 1 < p < ∞ is obtained. Bibliography: 12 titles.
Published in Zapiski Nauchnykh Seminarov POMI, Vol. 333, 2006, pp. 86–97. 相似文献
16.
The authors establish λ-central BMO estimates for commutators of singular integral operators with rough kernels on central Morrey spaces. Moreover, the boundedness of a class of multisublinear operators on the product of central Morrey spaces is discussed. As its special cases, the corresponding results of multilinear Calderon-Zygmund operators and multilinear fractional integral operators can be deduced, resDectivelv. 相似文献
17.
ShanZhenLU GuiPingTAO 《数学学报(英文版)》2003,19(4):645-654
In this paper,the authors establish the weighted (L^p,L^q) estimates for a class of multilinear oscillatory singular integrals with smooth phases.Certain endpoint estimates are also considered. 相似文献
18.
Yulan Jiao 《分析论及其应用》2010,26(3):261-277
In this paper, some mapping properties are considered for the maximal multilinear singular integral operator whose kernel satisfies certain minimum regularity condition. It is proved that certain uniform local estimate for doubly truncated operators implies the Lp(Rn) (1 < p < ∞) boundedness and a weak type L log L estimate for the corresponding maximal operator. 相似文献
19.
In this paper, the authors consider a class of maximal multilinear singular integral operators
and maximal multilinear oscillatory singular integral operators with standard Calderón–Zygmund
kernels, and obtain their boundedness on L
p
(ℝ
n
) for 1 < p < ∞.
Research supported by Professor Xu Yuesheng’s Research Grant in the program of "One hundred Distinguished
Young Scientists" of the Chinese Academy of Sciences 相似文献
20.
We study the
boundedness of generalized multilinear fractional integrals. An O’Neil type inequality for a k-linear integral operator is proved. Using an O’Neil type inequality for a k-linear integral operator, we obtain a pointwise rearrangement estimate of generalized multilinear fractional integrals. By
way of application we prove a Sobolev type theorem for these integrals.
__________
Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 48, No. 3, pp. 577–585, May–June, 2007. 相似文献