共查询到20条相似文献,搜索用时 15 毫秒
1.
§ 1 Introduction and main resultsLet Sn- 1 be the unitsphere in Rn(n≥ 2 ) equipped with normalized Lebesgue measure dσ= dσ(z′) .We say that a functionΩ(x,z) defined on Rn× Rnbelongs to L∞ (Rn)× Lr(Sn- 1 )(r≥ 1 ) ,ifΩ(x,z) satisfies the following two conditions,(i) for any x,z∈Rnandλ>0 ,there hasΩ(x,λz) =Ω(x,z) ;(ii)‖Ω‖L∞(Rn)× Lr(Sn- 1) :=supx∈ Rn∫Sn- 1|Ω(x,z′) | rdσ(z′) 1 / r<∞ .For 0 <α相似文献
2.
讨论了一类具有粗糙核多线性分数次奇异积分算子在弱 Hardy 空间的性质,通过原子分解,得到了这类算子在弱Hardy空间的有界性. 相似文献
3.
Xiaomei Wu 《分析论及其应用》2008,24(2):139-148
Let→b=(b1,b2,…,bm),bi∈∧βi(Rn),1≤I≤m,βi>0,m∑I=1βi=β,0<β<1,μΩ→b(f)(x)=(∫∞0|F→b,t(f)(x)|2dt/t3)1/2,F→b,t(f)(x)=∫|x-y|≤t Ω(x,x-y)/|x-y|n-1 mΠi=1[bi(x)-bi(y)dy.We consider the boundedness of μΩ,→b on Hardy type space Hp→b(Rn). 相似文献
4.
设TΩ,α是带变量核Ω的分数次积分算子,通过加强核的条件,并利用Hardy空间的原子分解技术,建立了TΩ,α(0<α<n)从Hardy空间到Lq(Rn)空间的有界性.推广了相关文献的结论. 相似文献
5.
A note on multilinear singular integrals with rough kernel 总被引:3,自引:0,他引:3
LanJiacheng 《分析论及其应用》2004,20(2):182-188
In this paper, the author gives the weighted weak Lipschitz boundedness with power weight for roughmultilinear integral operators. A simple way is obtained that is closely linked with a class of rough frac-tional integral operators. 相似文献
6.
In this paper the boundedness properties of multilinear singular and fractional integrals on the weighted Hardy spaces are studied. 相似文献
7.
LetT
Ω,α
(0 ≤ α< n) be the singular and fractional integrals with variable kernel Ω(x, z), and [b, TΩ,α] be the commutator generated by TΩ,α and a Lipschitz functionb. In this paper, the authors study the boundedness of [b, TΩ,α] on the Hardy spaces, under some assumptions such as theL
r
-Dini condition. Similar results and the weak type estimates at the end-point cases are also given for the homogeneous convolution
operators
. The smoothness conditions imposed on
are weaker than the corresponding known results. 相似文献
8.
We study the rough bilinear fractional integral
$
\tilde B_{\Omega ,\alpha } (f,g)(x) = \int_{\mathbb{R}^n } {f(x + y)g(x - y)\frac{{\Omega (x,y')}}
{{\left| y \right|^{n - \alpha } }}dy} ,
$
\tilde B_{\Omega ,\alpha } (f,g)(x) = \int_{\mathbb{R}^n } {f(x + y)g(x - y)\frac{{\Omega (x,y')}}
{{\left| y \right|^{n - \alpha } }}dy} ,
相似文献
9.
In this paper, we prove the boundedness from H1(Rn) to L n/n-α ,∞(Rn) for the multilinear fractional integral operator with rough kernel related to the mi-th remainder of Taylor series of Ai at x about y for i = 1,2, ,l. 相似文献
10.
We will show bounds for commutators of multilinear fractional integral operators with some homogeneous kernels. 相似文献
11.
LiuMingju JiangYinsheng 《分析论及其应用》2005,21(1):90-100
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
12.
In this paper the boundedness for the multilinear fractional integral operator Iα^(m) on the product of Herz spaces and Herz-Morrey spaces are founded, which improves the Hardy- Littlewood-Sobolev inequality for classical fractional integral Iα. The method given in the note is useful for more general multilinear integral operators. 相似文献
13.
兰家诚 《纯粹数学与应用数学》2004,20(4):317-322,326
通过相关的分数次积分算子的性质,证明了一类多线性算子在Hardy空间上的(Hp,Lp)有界性,得到一种简明的方法. 相似文献
14.
Boundedness of higher order commutators of generalized fractional integral operators on Hardy spaces
Chunlei He Lisheng Shu 《分析论及其应用》2005,21(3):249-257
Let Tμ,b,m be the higher order commutator generated by a generalized fractional integral operator Tμ and a BMO function b. In this paper, we will study the boundedness of Tμ,b,m on classical Hardy spaces and Herz-type Hardy spaces. 相似文献
15.
Let A be a function with derivatives of order m and D γ A ∈■β (0 < β < 1, |γ| = m). The authors in the paper prove that if Ω(x, z) ∈ L ∞ (R n ) × L s (S n 1 ) (s ≥ n/(n β)) is homogenous of degree zero and satisfies the mean value zero condition about the variable z, then both the generalized commutator for Marcinkiewicz type integral μ A Ω and its variation μ A Ω are bounded from L p (R n ) to L q (R n ), where 1 < p < n/β and 1/q = 1/p β/n. The authors also consider the boundedness of μ A Ω and its variation μ A Ω on Hardy spaces. 相似文献
16.
本文证明了多线性分数次Hardy算子Hβ,m和H *β,m (m∈Z+且m≥1)在变指数Herz-Morrey乘积空间上的有界性.对多线性Hardy算子也建立了相应的结果. 相似文献
17.
In this paper, we discuss the boundedness of Marcinkiewicz integral μΩ with homogeneous kernel on the weighted Herz-type Hardy spaces, and prove that μΩ is bounded from H K αq ,p ( w1 ; w2 ) into Kαq ,p (w 1; w2). 相似文献
18.
Donggao Deng Yanbo Xu Lixin Yan 《分析论及其应用》2006,22(1):41-55
Let X be a space of homogeneous type with finite measure. Let T be a singular integral operator which is bounded on Lp (X), 1 < p <∞. We give a sufficient condition on the kernel k(x,y) of Tso that when a function b ∈ BMO (X) ,the commutator [b, T] (f) = T (b f) - bT (f) is aounded on spaces Lp for all p, 1 < p <∞. 相似文献
19.
In this paper, we study the boundedness of higher order commutators of generalized fractional integral operators on weighted Lp spaces and Herz-type Hardy spaces. 相似文献
20.
In this note the authors study the mapping properties of a class of integral operators with variable kernels on the weak Hardy spaces. 相似文献
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