共查询到20条相似文献,搜索用时 15 毫秒
1.
Multilinear Singular and Fractional Integrals 总被引:2,自引:0,他引:2
Yong DING Shan Zhen LU Kozo YABUTA 《数学学报(英文版)》2006,22(2):347-356
In this paper, we treat a class of non-standard commutators with higher order remainders in the Lipschitz spaces and give (L^v, L^q), (H^p, L^q) boundedness and the boundedness in the Triebel- Lizorkin spaces. Our results give simplified proofs of the recent works by Chen, and extend his result. 相似文献
2.
A. P. Starovoitov 《Mathematical Notes》2005,78(3-4):391-402
We obtain exact rational approximation orders for functions expressible as Riemann--Liouville and Weyl fractional integrals. New results and the strengthening and generalization of theorems due to Popov, Petrusheva, Pekarskii, Rusak, and the author, which are well known in the theory of rational approximation of differentiable functions, are obtained as consequences of theorems due to Pekarskii related to rational approximation of functions from the Hardy--Sobolev classes in the unit disk. 相似文献
3.
We use Liouville spaces in order to prove the existence of some different fractional -Brownian motion ( 0 < 1 ), or fractional ( , )-Brownian sheets. There are also applications to the Wiener stochastic integral with respect to these -Brownian. 相似文献
4.
Peng XIE Xi Cheng ZHANG 《数学学报(英文版)》2007,23(6):1053-1058
We study the fractional smoothness in the sense of Malliavin calculus of stochastic integrals of the form ∫0^1Ф(Xs)dXs, where Xs is a semimartingale and Ф belongs to some fractional Sobolev space over R. 相似文献
5.
Let $I_{\alpha,\vec{b}}$ be the multilinear commutators of the fractional integrals $I_{\alpha}$ with the symbol $\vec{b}=(b_1, \cdots,b_k )$. We show that the constant of borderline weighted estimates for $I_{\alpha}$ is $\frac{1}{{\varepsilon}}$, and for $I_{\alpha,{\vec{b}}}$ is $\frac{1}{{\varepsilon}^{k+1}}$ with each $b_i$ belongs to the Orlicz space $Osc_{\exp L^{s_i}}$. 相似文献
6.
本文研究分数次积分交换子,其中Kα(x,y)=d(x,y)α-1,m∈N且b(x)∈BMO(X,μ),证明了Iα,bm是从Orlicz空间L(log L)m(X)到弱Lq(X)空间的映照.同时还证明了分数次极大算子交换子Mα,bm也有类似性质. 相似文献
7.
设函数b=(b1,b2,…,bm)和广义分数次积分L-a/2(0〈α〈n),它们生成多线性算子定义如下 Lb -a/2 f = [bm …, [b2[b1, L-a/2]],…, ]f,其中m ∈ Z+ , bi ∈ Lipβi (0 〈βi 〈 1),其中(1≤i≤m).将讨论Lb -1a/2。从Mp^q(Rn)到Lip(α+β-n/ q) ( Rn )和q^q ( Rn )到BMO(Rn)的有界性. 相似文献
8.
Suppose b =(b_1, ···, b_m) ∈(BMO)~m, I_(α,m)~(Πb) is the iterated commutator of b and the m-linear multilinear fractional integral operator I_(α,m). The purpose of this paper is to discuss the boundedness properties of I_(α,m) and I_(α,m)~(Πb) on generalized Herz spaces with general Muckenhoupt weights. 相似文献
9.
Hong Jun Li 《数学学报(英文版)》2001,17(4):697-714
In this paper, the existence of a global tangent frame on every oriented and connected smooth 3-manifold will be used to
develop a global frame method in 3-dimensional geometry and topology. Corresponding to each global tangent frame, we define
a Poisson matrix on the 3-manifold. And using it as an initial date, we give an explicit expression of all the curvatures
for some Riemannian metric. The method is well applied to 3-manifolds with constant Poisson matrix. Such 3-manifolds are essentially
the homogeneous spaces of 3-dimensional Lie groups. 相似文献
10.
11.
Weighted Weak-type Estimates for Multilinear Commutators of Fractional Integrals on Spaces of Homogeneous Type 总被引:4,自引:1,他引:4
Osvaldo GOROSITO Gladis PRADOLINI Oscar SALINAS 《数学学报(英文版)》2007,23(10):1813-1826
We obtain weighted distributional inequalities for multilinear commutators of the fractional integral on spaces of homogeneous type, The techniques developed in this work involve the behavior of some fractional maximal functions. In relation to these operators, as a main tool, we prove a weighted weak type boundedness result, which is interesting in itself. 相似文献
12.
令 1 p ∞ ,0 0 ,K为局部域 .本文将着重讨论一类线性分数次积分算子在 Herz空间K (α,p,l;K )上的有界性 相似文献
13.
关于粗糙核多线性分数次积分的一点注记 总被引:18,自引:1,他引:18
作者简单地证明了一类粗糙核多线性分数次积分算子及其相关的极大算子分别是关于A(p,q)权从Lp到Lq有界的以及关于幂权从Lp(1≤p<n/α)到p/(n-a),∞有界的. 相似文献
14.
In this paper, some endpoint estimates for the generalized multilinear fractional integrals I_(α,m) on the non-homogeneous metric spaces are established. 相似文献
15.
In this paper,the weighted Herz-Morrey spaces are introduced and the estimates for Marcinkiewicz Integrals on the weighted Herz-Morrey spaces are studied. 相似文献
16.
运用局部化方法和双全纯映射,通过Stein流形和C~n空间中Bochner-Martinelli核的联系,借助已获得的C~n空间中导数的Plemelj公式,得到Stein流形上导数的Plemelj公式. 相似文献
17.
In this paper, we give the necessary and sufficient conditions for the boundedness of fractional integral operators on the modulation spaces. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
18.
By using the Littlewood-Paley decomposition and the interpolation the-ory, we prove the boundedness of fractional integral on the product Triebel-Lizorkin spaces with a rough kernel related to the product block spaces. 相似文献
19.
Let {B
t
,t[0,1]} be a fractional Brownian motion with Hurst parameter H > 1/2. Using the techniques of the Malliavin calculus we show that the trajectories of the indefinite divergence integral
t
0
u
s
B
s
belong to the Besov space
p,q
for all
, provided the integrand u belongs to the space
. Moreover, if u is bounded and belongs to
for some even integer p2 and for some large enough, then the trajectories of the indefinite divergence integral
t
0
u
s
B
s
belong to the Besov space
p,
H
. 相似文献
20.
给出了具有齐性核分数次积分算子T_(Ω,α),和BMO函数生成的交换子[b,T_(Ω,α)]在加权Hardy空间的有界性. 相似文献