检索结果-南通市图书馆

Lipschitz estimates for commutator of fractional integral operators on non-homogeneous metric measure spaces

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics(A Journal of Chinese Universities) 2020年第3期35卷 253-264页

作者： WANG Ding-huai ZHOU Jiang MA Bo-lin School of Mathematics and Statistics Anhui Normal UniversityWuhu 241000China College of Mathematics and System Sciences Xinjiang UniversityUrumqi 830046China College of Science and Information Engineering Jiaxing UniversityJiaxing 314001China

In this paper, the authors establish the(L^p(μ), L^q(μ))-type estimate for fractional commutator generated by fractional integral operators Tα with Lipschitz functions(b ∈ Lipβ(μ)),where 1 < p < 1/(α + β) and 1/q = 1/p-(α + β), and obtain their weak(L^1(μ), L^(1/(1-α-β))(μ))-type. Moreover, the authors also consider the boundedness in the case that 1/(α+β) < p < 1/α,1/α≤ p ≤∞ and the endpoint cases, namely, p = 1/(α + β).

关键词： Non-homogeneous space fractional integral Lipschitz function Commutator Endpoint estimate

Endpoint Estimates for Commutators of Multilinear fractional integral Operators

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2010年第3期26卷 433-444页

作者： Xiao YU Jie Cheng CHEN Department of Mathematics Zhejiang University Hangzhou 310027 P. R. China

In this paper, the weak type LlogL estimate for the multilinear fractional commutator is obtained by introducing a new kind of maximal operator of the multilinear fractional order associated with the mean Luxumburg no... 详细信息

关键词： multilinear commutator Young function Luxemburg norm fractional integral

Weighted Estimates of Variable Kernel fractional integral and Its Commutators on Vanishing Generalized Morrey Spaces with Variable Exponent

在线全文

学校读者我要写书评

暂无评论

Chinese Annals of Mathematics,Series B 2021年第3期42卷 451-470页

作者： Xukui SHAO Shuangping TAO School of Mathematics and Statistics LongDong UniversityQingyang 745000GansuChina School of Mathematics and statistics Northwest Normal UniversityLanzhou 730070China Corresponding author.School of Mathematics and Statistics Northwest Normal UniversityLanzhou 730070China

In this paper,the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent generalized weighted Morrey spaces and the variable exponent vanishing generalized w... 详细信息

关键词： fractional integral Commutator Variable kernel Vanishing generalized weighted Morrey space with variable exponent BMO space

A∞ weight estimates for vector-valued commutators of multilinear fractional integral

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics(A Journal of Chinese Universities) 2013年第3期28卷 335-357页

作者： YU Xiao CHEN Jie-cheng ZHANG Yan-dan Department of Mathematics Zhejiang University Department of Mathematics Shangrao Normal University Department of Mathematics Zhejiang Normal University Department of Mathematics Zhejiang University of Science and Technology

In this paper, the authors get the Coifman type weighted estimates and weak weighted LlogL estimates for vector-valued generalized commutators of multilinear fractional integral with w ∈ A∞. Furthermore, both the boundedness of vector-valued multilinear frac- tional integral and the weak weighted LlogL estimates for vector-valued multilinear fractional integral are also obtained.

关键词： vector-valued commutator multilineax fractional integral weighted.

Approximations of the fractional integral and Numerical Solutions of fractional integral Equations

在线全文

学校读者我要写书评

暂无评论

Communications on Applied Mathematics and Computation 2021年第3期3卷 545-569页

作者： Yuri Dimitrov Department of Mathematics and Physics University of Forestry1756 SofiaBulgaria Institute of Mathematics and Informatics Bulgarian Academy of Sciences1113 SofiaBulgaria

In the present paper,we derive the asymptotic expansion formula for the trapezoidal approximation of the fractional *** use the expansion formula to obtain approximations for the fractional integral of ordersα,1+α,2+α,3+αand 4+α.The approximations are applied for computation of the numerical solutions of the ordinary fractional relaxation and the fractional oscillation equations expressed as fractional integral equations.

关键词： fractional integral Trapezoidal approximation fractional integral equation Finite-difference scheme

BOUNDS FOR COMMUTATORS OF MULTILINEAR fractional integral OPERATORS WITH HOMOGENEOUS KERNELS

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Analysis in Theory and Applications 2011年第2期27卷 181-186页

作者： Jinhui Wang Jing Lan Jun Li Jiangxi University of Science and Technology China Fuzhou Institute of Education China

We will show bounds for commutators of multilinear fractional integral operators with some homogeneous kernels.

关键词： multilinear operator fractional integral commutator multiple weight homo-geneous kernel

ESTIMATE FOR A CLASS OF MULTILINEAR fractional integral OPERATOR WITH ROUGH KERNEL

在线全文

学校读者我要写书评

暂无评论

Analysis in Theory and Applications 2010年第4期26卷 359-366页

作者： Yunpin Wu Xiangxing Tao Ningbo University China Zhejiang University of Science ＆ Technology China

In this paper, we prove the boundedness from H1 （Rn） to Ln/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 =... 详细信息

关键词： multilinear operator fractional integral Hardy space

fractional integral OPERATOR ON SPACES OF HOMOGENEOUS TYPE

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics(A Journal of Chinese Universities) 2004年第2期19卷 203-211页

作者： JiangLiya XuMing Dept.ofMath. ZhejiangUniv.Hangzhou310028China

An equivalent definition of fractional integral on spaces of homogeneous type is given. The behavior of the fractional integral operator in Triebel-Lizorkin space is discussed.

关键词： fractional integral space of homogeneous type Triebel-Lizorkin space.

CBMO Estimates for Commutators of fractional integral Operators with Variable Kernels

在线全文

学校读者我要写书评

暂无评论

Chinese Quarterly Journal of Mathematics 2012年第1期27卷 68-73页

作者： WANG Li-wei SHU Li-sheng QU Meng School of Mathematics and Physics Anhui Polytechnic UniversityWuhu 241000China School of Mathematics and Computer Science Anhui Normal UniversityWuhu 241003China

In this paper,the authors introduce the central bounded oscillation space CBMO q (R n),let [b,T,α ] be the commutator generated by fractional integral operators with variable kernels and CBMO function,we establish th... 详细信息

关键词： CBMO Morrey-Herz space fractional integral commutator variable kernel