首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到19条相似文献,搜索用时 62 毫秒
1.
本文研究下面这两个函数,(1-|x|^ρ1)+^α和(1-|x|^ρ2)+^α,其中ρ1,ρ2和α均为正实数,文献上称这类函数为广义Bochner-Riesz乘子.本文将证明,当α给定时,对任意的ρ1〉0和ρ2〉0,这两个函数作为乘子,其乘子算子的L^p有界性和Hp有界性是等价的.  相似文献   

2.
In this paper, by establishing a result concerning the mapping properties for bi(sub)linear operators on Morrey spaces, and the weighted estimates with general weights for the bilinear Fourier multiplier, the author establishes some results concerning the behavior on the product of Morrey spaces for bilinear Fourier multiplier operator with associated multiplierσ satisfying certain Sobolev regularity.  相似文献   

3.
对任意给定的正整数m,Z^+×{1,...,m}的任意一个有限子集S,定义一般化的多线性分数次积分算子的交换子Iα,→b,S(f)(x)=∫(Rn)^m ∏(i,j)∈S(bi(x)-bi(yj))/(|x-y1|+…+|x-ym|)^mn-α∏(j=1→m)fj(yj)d→y,其中d→y=dy1…dym.此框架下的交换子包含了以往研究的各类分数次积分算子的交换子,并蕴含了多线性背景下新的交换子形式.在上述非常一般框架下,本文给出带多重A→p,q权的多线性分数次积分算子的交换子Iα,→b,S(→f)的加权强型(L^p1(ω1)×···×L^pm(ωm),L^q(ν→ωq))估计和加权弱型端点估计.本文还得到更一般核条件下的上述结果.  相似文献   

4.
In this paper, weighted estimates with general weights are established for the multilinear singular integral operator defined by TAf(x) = p. v.RnΩ(x- y)|x- y|n+1 A(x)- A(y)- A(y)(x- y) f(y)dy,where Ω is homogeneous of degree zero, has vanishing moment of order one, and belongs to Lipγ(Sn-1) with γ∈(0, 1], A has derivatives of order one in BMO(Rn).  相似文献   

5.
本文研究连续窗口Fourier变换的反演公式.与经典的积分重构公式不同,本文证明当窗函数满足合适的条件时,窗口Fourier变换的反演公式可以表示为一个离散级数.此外,本文还研究这一重构级数的逐点收敛及其在Lebesgue空间的收敛性.对于L^2空间,本文给出重构级数收敛的充分必要条件.  相似文献   

6.
给出了模空间上多线性乘子新的估计,改进了已知结论,并把所得结果应用于微分方程非线性项的估计.  相似文献   

7.
本文考虑多线性Fourier乘子算子在加权Lebesgue空间的乘积空间上的性质,利用多线性Fourier乘子算子的核估计以及多线性奇异积分算子的加权理论,建立多线性Fourier乘子算子的(关于多重Ap/r(Rmn)权函数以及关于一般权函数的)两个加权估计.  相似文献   

8.
本文考虑Euclid空间Rn中环B1/B∈上的调和函数u,其中∈〈〈1.本文证明当1〈p〈∞时,在合适的边界条件下,▽u的Lp,1(B1/2/B2∈)范数可以被▽u的L^p,∞(B1/B∈)范数控制,其中的常数不依赖于∈.  相似文献   

9.
胡国恩 《中国科学A辑》2009,39(12):1421-1434
本文考虑多线性Calderón-Zygmund算子的加权估计.通过证明适当的加权弱端点估计,并利用多线性内插定理和一个新的多线性外插引理,建立了多线性Calderón-Zygmund算子的一些加一般权的估计.此外还考虑了相应的交换子的加权估计.  相似文献   

10.
宋丛威 《数学学报》2015,(1):107-114
给出了模空间上多线性乘子新的估计,改进了已知结论,并把所得结果应用于微分方程非线性项的估计.  相似文献   

11.
In this paper, the authors consider the weighted estimates for the commutators of multilinear Calderón-Zygmund operators.By introducing an operator which shifts the commutation, and establishing the weighted estimates for this new operator, the authors prove that, if p1 ∈ (1,∞), p2,…,pm ∈(1,∞], p ∈ (0,∞) with 1/p =Σ1≤k≤ m 1/pk, then for any weight w, the commutators of m-linear Galderón-Zygmund operator are bounded from LP1(Rn,Ml(logL)σw)× p2(Rn,Mw)×...×Lpm(Rn,Mw) to Lp(Rn,w)with σ to be a constant depending only on p1 and the order of commutator  相似文献   

12.
In this paper,we give the (L^p,L^q)-boundedness for a aclass of multilinear operators with two different wieght functions.  相似文献   

13.
We give a condition which is sufficient for the two‐weight (p, q) inequalities for multilinear potential type integral operators, where 1 < pq < ∞. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)  相似文献   

14.
We prove weighted norm inequalities for pseudodifferential operators with amplitudes which are only measurable in the spatial variables. The result is sharp, even for smooth amplitudes. Nevertheless, in the case when the amplitude contains the oscillatory factor ξ?ei|ξ|1−ρ, the result can be substantially improved. We extend the Lp-boundedness of pseudo-pseudodifferential operators to certain weights. End-point results are obtained when the amplitude is either smooth or satisfies a homogeneity condition in the frequency variable. Our weighted norm inequalities also yield the boundedness of commutators of these pseudodifferential operators with functions of bounded mean oscillation.  相似文献   

15.
16.
Weighted norm inequalities with general weights are established for the maximal singular integral operators on spaces of homogeneous type, when the kernel satisfies a Hörmander regularity condition on one variable and a Hölder regularity condition on the other variable.  相似文献   

17.
In this paper, the weighted L^p(R^n) boundedness for the multilinear oscillatory singular integral operators with polynomial phases is studied.  相似文献   

18.
A Cotlar type inequality is established for the multilinear singular integral operators. As applications, some two-weight norm inequalities are obtained for the maximal operator corresponding to the multilinear singular integral operators.  相似文献   

19.
In this paper,the weighted estimates for multilineal commutators of singular integral operators associated with the sections are obtained.  相似文献   

设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号