共查询到20条相似文献,搜索用时 15 毫秒
1.
The boundedness of maximal multilinear commutator on certain weighted spaces is obtained. The boundedness of mulitilinear commutators of singular integrals with Calderon-Zygmund kernel on Herz-type spaces is also considered. 相似文献
2.
This paper is primarily concerned with the proof of the Lp boundedness of parabolic Littlewood-Paley operators with kernels belonging to certain block spaces. Some known results are essentially extended and improved. 相似文献
3.
Jing-shi Xu 《Czechoslovak Mathematical Journal》2007,57(1):13-27
The boundednees of multilinear commutators of Calderón-Zygmund singular integrals on Lebesgue spaces with variable exponent
is obtained. The multilinear commutators of generalized Hardy-Littlewood maximal operator are also considered. 相似文献
4.
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
5.
In this paper, the authors give the boundedness on Triebel-Lizorkin spaces for the parabolic singular integral with rough
kernel and its commutator. 相似文献
6.
In this paper, the authors obtain the endpoint estimates for a class of non-standard commutators with higher order remainders and their variants. Moreover, the authors show that these operators are actually not bounded in certain cases.
7.
In this paper, we establish the boundedness of commutators of singular integral operators with non-smooth kernels on weighted Lipschitz spaces Lipβ,ω. The condition on the kernel in this paper is weaker than the usual pointwise H¨ormander condition. 相似文献
8.
We obtain appropriate sharp bounds on Triebel-Lizorkin spaces for rough oscillatory integrals with polynomial phase. By using
these bounds and using an extrapolation argument we obtain some new and previously known results for oscillatory integrals
under very weak size conditions on the kernel functions. 相似文献
9.
Shanzhen Lu 《Frontiers of Mathematics in China》2007,2(1):61-72
This paper is a survey on the theory and application of some block spaces on the unit sphere introduced by Jiang and the author
of this paper in the study of singular integrals and some related operators with rough kernels.
相似文献
10.
In this paper, we will prove the Triebel-Lizorkin boundedness for some oscillatory singular integrals with the kernel (x) satisfying a condition introduced by Grafakos and Stefanov. Our theorems will be proved under various conditions on the phase function, radial and nonradial. Since the L p boundedness of these operators is not complete yet, the theorems extend many known results. 相似文献
11.
Suppose β1 α1 ≥0,β2 α2 ≥ 0 and(k,j) ∈R2. In this paper, we mainly investigate the mapping properties of the operator T_αβf(x,y,z)=∫_Q~2f(x-t,y-s,z-t~ks~j)e~(-2πit-β1_s-β2)t~(-1-α1)s~(-1-α2)dtds on modulation spaces, where Q~2 = [0,1] x [0,1] is the unit square in two dimensions. 相似文献
12.
Yong Ding Shanzhen Lu Dachun Yang 《Proceedings of the American Mathematical Society》2001,129(4):1127-1136
In this paper the authors give a criterion on the weighted boundedness of the multilinear oscillatory singular integral operators with rough kernels.
13.
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
14.
We prove the boundedness of fractional integral with a rough kernel on Triebel-Lizorkin spaces, where the rough kernel belongs to the block space and does not need to satisfy any moment conditions on the unit sphere. 相似文献
15.
This paper is devoted to studying the commutators of the multilinear singular integral operators with the non-smooth kernels
and the weighted Lipschitz functions. Some mapping properties for two types of commutators on the weighted Lebesgue spaces,
which extend and generalize some previous results, are obtained. 相似文献
16.
Let T be a bounded multilinear operator on some product of Lq(Rn) spaces. Assume that T has a non-smooth associated kernel which satisfies certain weak regularity conditions but not regular enough to fall under the scope of the standard multilinear Calderón-Zygmund theory. The main aim of this paper is to establish a sufficient condition on the kernel of T so that the commutator of a vector BMO function and T is bounded on certain product Lp(Rn) spaces. We obtain boundedness of the commutator of and T by first proving certain pointwise estimates on the Fefferman-Stein sharp maximal operator. An important example of multilinear operators which satisfy our kernel conditions is the maximal mth order Calderón commutator. 相似文献
17.
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
18.
Let X be a space of homogeneous type in the sense of Coifman and Weiss. In this paper, via a new Cotlar type inequality linking commutators and corresponding maximal operators, a weighted Lp(X) estimate with general weights and a weak type endpoint estimate with A1(X) weights are established for maximal operators corresponding to commutators of BMO(X) functions and singular integral operators with non-smooth kernels. 相似文献
19.
An endpoint estimate for the commutators of singular integrals with non doubling measures 总被引:1,自引:0,他引:1
A weak type endpoint estimate is established for commutators of the Calderon-Zygmund singular integrals on R^d with non doubling measures. 相似文献
20.
We prove the boundedness for a class of multi-sublinear singular integral operators on the product of central Morrey spaces with variable exponents. Based on this result, we obtain the boundedness for the multilinear singular integral operators and two kinds of multilinear singular integral commutators on the above spaces. 相似文献