共查询到20条相似文献,搜索用时 31 毫秒
1.
Min Wang Lisheng Shu Meng Qu 《分析论及其应用》2014,(2):224-235
In this paper, we will prove the boundedness of Hardy type operators Hβ(x) and H*β(x) of variable order β(x) on Herz spaces Kα(·)p(·),q and Kα(·)p(·),q' where α(·) and p(·)are both variable. 相似文献
2.
Zun-wei FU~ 《中国科学A辑(英文版)》2007,50(10):1418-1426
In this paper, it was proved that the commutator Hβ,b generated by an n-dimensional fractional Hardy operator and a locally integrable function b is bounded from Lp1(Rn) to Lp2 (Rn) if and only if b is a C(M)O(Rn) function, where 1/p1 - 1/p2 = β/n, 1 < p1 <∞, 0 ≤β< n. Furthemore,the characterization of Hβ,b on the homogenous Herz space (K)qα,p(Rn) was obtained. 相似文献
3.
In this paper, we study the boundedness of higher order commutators of gen- eralized fractional integral operators on weighted Lp spaces and Herz-type Hardy spaces. 相似文献
4.
武江龙 《数学的实践与认识》2011,41(1)
主要在齐次Morrey-Herz空间MK_(p,q)~(α,λ)(R~n)上建立了由n维分数次Hardy算子和Lipschitz函数生成的多线性交换子H_(e,b)的有界性. 相似文献
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Lipschitz Estimates for Multilinear Singular Integrals 总被引:1,自引:0,他引:1
In this paper, the author establishes Lipschitz estimates for a class of multilinear singular integrals on Lebesgue spaces, Hardy spaces and Herz type spaces. Certain unboundedness properties in the extreme cases are disposed. 相似文献
8.
利用加权Herz型Hardy空间的原子分解理论,讨论了广义分数次积分算子Tl从加权Lp空间到加权Lq空间,以及从加权Herz型Hardy空间到加权Herz空间的有界性问题.将已有的分数次积分算子的结论推广到广义分数次积分算子的情形. 相似文献
9.
In this paper, the authors investigate the boundedness of the generalized fractional integrals of Pérez on the weighted Herz
spaces, the weighted weak Herz spaces and the weighted Herz-type Hardy spaces for general weights. 相似文献
10.
通过放宽尺寸条件,得到了一类具有分数次积分性质的次线性算子从Herz型Hardy空间到(弱)Herz型Hardy空间有界性的判定条件,以及端点处的弱型估计. 相似文献
11.
Let w be a Muckenhoupt weight and Hwp (JRn) be the weighted Hardy space. In this paper, by using the atomic decomposition of Hwp(Rn), we will show that the Bochner-Riesz operators TRδ are bounded from Hwp(Rn) to the weighted weak Hardy spaces WHwp (Rn) for 0 〈 p 〈 1 and δ = n/p- (n + 1)/2. This result is new even in the unweighted case. 相似文献
12.
This paper gives a type theorem, which is a boundedness criterion for singular integral operators from the weighted Herz‐type Hardy spaces into the weighted local Herz‐type Hardy spaces. As applications, the corresponding mapping properties for the Cauchy integral and Calderón's commutators are obtained. In addition, a counter example is shown that neither is a Calderón–Zygmund singular integral operator bounded on the homogeneous local Herz‐type Hardy space, nor bounded on the classical local Hardy space. 相似文献
13.
研究了由加权Lipschitz函数b和Calderón-Zygmund奇异积分算子T生成的交换子Tb在一些加权空间上的有界性,涉及到加权Hardy空间,加权Herz空间及和加权Herz型Hardy空间.同时也得到了其相应的端点估计. 相似文献
14.
In this paper, the authors investigate the boundedness of the generalized fractional integrals of Pérez on the weighted Herz
spaces, the weighted weak Herz spaces and the weighted Herz-type Hardy spaces for general weights.
This project was partially supported by the SEDF and the NNSF of China. 相似文献
15.
证明了n维分数次Hardy算子H_β和H_(β*)从变指数Herz-Morrey空间MK(_p_1,q_1(·)*)从变指数Herz-Morrey空间MK(_p_1,q_1(·)α,λ)(Rα,λ)(Rn)到MK_(p_2,q_2(·)n)到MK_(p_2,q_2(·)α,λ)(Rα,λ)(Rn)的有界性.对n维Hardy算子也建立了相应的结果. 相似文献
16.
在p-adic域上研究分数次Hardy型算子与CMO(Qnp)函数生成的多线性交换子,建立了交换子在Lebesgue空间和Herz空间上的有界性.对Hardy算子的多线性交换子也得到了相应的结果. 相似文献
17.
Yuqing Liu Dongxiang Chen 《逼近论及其应用》2008,(4):321-329
The boundedness of maximal Bochner-Riesz operator B^δ* and that of maximal commutator B^bδ*, generated by this operator and Lipschitz function on the classical Morrey space and generalized Morrey space are established. 相似文献
18.
QIN XI-MEI XIE RU-LONG 《东北数学》2009,(5):461-471
In this paper, weighted endpoint boundedness of multilinear θ-type Calderon-Zygmund operator is obtained. 相似文献
19.
In this paper, the λ-central BMO estimates for higher order commuta-tors of Hardy operators on central Morrey space Lq,λ(Rn) are established. In the meanwhile, the corresponding corollary for central BMO estimates is also obtained. 相似文献
20.
Harun Karsli 《逼近论及其应用》2010,(2):140-152
In the present paper we state some approximation theorems concerning point- wise convergence and its rate for a class of non-convolution type nonlinear integral opera- tors of the form:Tλ(f;x)=B∫AKλ(t,x,f(t))dr,x∈〈a,b〉λλA.In particular, we obtain the pointwise convergence and its rate at some characteristic points x0 off as (x,λ) → (x0, λ0) in LI 〈A,B 〉, where 〈 a,b 〉 and 〈A,B 〉 are is an arbitrary intervals in R, A is a non-empty set of indices with a topology and X0 an accumulation point of A in this topology. The results of the present paper generalize several ones obtained previously in the papers [191-[23] 相似文献