共查询到20条相似文献,搜索用时 21 毫秒
1.
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
2.
This paper is concerned with certain multilinear commutators of BMO functions and multilinear singular integral operators with non-smooth kernels. By the sharp maximal functions estimates,
the weighted norm inequalities for this kind of commutators are established. 相似文献
3.
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
4.
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
5.
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
6.
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
7.
This paper presents a weighted L
2 estimate with power weights for the maximal operator of commutators generated by compactly supported multipliers and Lipschitz
functions. As an application, we study the almost convergence of the commutators, which is generated by the Bochner-Riesz
means under the critical index and Lipschitz functions, for functions in L
p
(p ⩾ 2). 相似文献
8.
Pu Zhang 《Mathematische Nachrichten》2006,279(4):445-462
Let T be a Calderón–Zygmund operator with regular kernel K and T * b be the maximal multilinear commutator defined by . In this paper, the following weighted estimates for T * b are discussed. Precisely, for 0 < p < ∞, ω ∈ A ∞ and b j ∈ Osc equation/tex2gif-inf-5.gif, rj ≥ 1, j = 1, … , m , there exists a positive constant C such that . For p = 1 and ω ∈ A 1, the weighted weak L (log L )1/r ‐type estimates are also established. Our theorems are parallel to the ones of the multilinear commutators of Calderón–Zygmund operators obtained in [18] and extend the main result in [14] essentially. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
9.
In terms of continuous decomposition and choosing an appropriate BMO function, the authors obtain a sharp necessary condition
for L
p boundedness of the commutators generated by Bochner-Riesz operators below the critical index and BMO functions.
相似文献
10.
本文研究了一类次线性算子及其交换子在齐型空间上的弱有界性的问题.利用齐型空间的基本性质以及给出的一类次线性算子及其分别与BMO函数,Lipschitz函数生成的交换子在L~p(X)上的弱有界性,证明了其在齐型空间上Morrey-Herz空间中的弱有界性.推广了该类算子在Morrey-Herz空间中的强有界性这一结果. 相似文献
11.
The first-order moments and two families of commutators are proven to determine uniquely the moments of a probability measure
on ℝ
d
. These families are the commutators between the annihilation and creation operators, and the commutators between the annihilation
and preservation operators. An explicit method for recovering the moments from these commutators and first-order moments is
presented.
相似文献
12.
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
13.
本文对由强奇异积分算子和加权Lipschitz函数生成的多线性交换子证明了其sharp极大函数估计,作为应用,得到了该多线性交换子的连续性. 相似文献
14.
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
15.
In this paper, we prove the Lp (?n ) boundedness for higher commutators of singular integrals with rough kernels belonging to certain block spaces provided that 1 < p < ∞ (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
16.
刘岚喆 《数学物理学报(A辑)》2010,30(1):167-178
该文对带非光滑核的多线性奇异积分算子建立了sharp函数估计,作为应用,得到了该多线性奇异积分算子的L~p(1p∞)范数不等式. 相似文献
17.
Zhijian Wu 《Advances in Applied Clifford Algebras》1998,8(1):83-93
We decompose Lα2(ℝ+
n+1) into direct sum of closed subspaces which are isomorphic to the monogenic Bergman space. Application on commutators is also
discussed.
Research supported in part by the NSF Grant DMS-9622890 相似文献
18.
In this article we obtain weighted norm estimates for multilinear singular integrals with non-smooth kernels and the boundedness
of certain multilinear commutators by making use of a sharp maximal function. 相似文献
19.
A multi(sub)linear maximal operator that acts on the product of m Lebesgue spaces and is smaller than the m-fold product of the Hardy-Littlewood maximal function is studied. The operator is used to obtain a precise control on multilinear singular integral operators of Calderón-Zygmund type and to build a theory of weights adapted to the multilinear setting. A natural variant of the operator which is useful to control certain commutators of multilinear Calderón-Zygmund operators with BMO functions is then considered. The optimal range of strong type estimates, a sharp end-point estimate, and weighted norm inequalities involving both the classical Muckenhoupt weights and the new multilinear ones are also obtained for the commutators. 相似文献
20.
Ishwari Kunwar 《Annali dell'Universita di Ferrara》2018,64(1):111-144
We obtain a generalized paraproduct decomposition of the pointwise product of two or more functions that naturally gives rise to multilinear dyadic paraproducts and Haar multipliers. We then study the boundedness properties of these multilinear operators and their commutators with dyadic BMO functions. We also characterize the dyadic BMO functions via the boundedness of (a) certain paraproducts, and (b) the commutators of multilinear Haar multipliers and paraproduct operators. 相似文献