检索结果-南通市图书馆

Weighted weak type estimates for commutators of the marcinkiewicz integrals

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Science China Mathematics 2004年第1期47卷 83-95页

作者： DING Yong, LU Shanzhen & ZHANG PuDepartment of Mathematics, Beijing Normal University, Beijing 100875, China Department of Information and Computing Science, Zhejiang Institute of Science and Technology, Hangzhou 310033, China Department of Mathematics Beijing Normal University Beijing China Department of Information and Computing Science Zhejiang Institute of Science and Technology Hangzhou China

In this paper the authors give the weighted weak LlogL type estimates for a class of the higher order commutator generated by the marcinkiewicz integral and a BMO function. In addition, the weak type norm inequalities... 详细信息

关键词： marcinkiewicz integral, commutator, Ap weight, weak type estimate.

L^p Estimates of certain rough parametric marcinkiewicz functions

在线全文

学校读者我要写书评

暂无评论

Frontiers of Mathematics in China 2019年第5期14卷 867-879页

作者： Laith HAWAWSHEH Ahmad AL-SALMAN School of Basic Sciences and Humanities German Jordanian UniversityAmmanJordan Department of Mathematics Sultan Qaboos UniversityP.O.Box 36Al-Khod 123 MuscatOman

We prove L^P estimates of a class of parametric marcinkiewicz integral operators when their kernels satisfy only the L^1(S^n-1)integrability condition.The obtained L^P estimates resolve a problem left open in previous work.Our argument is based on duality technique and direct estimation of operators.As a consequence of our result,we deduce the L^P boundedness of a class of fractional marcinkiewicz integral operators.

关键词： marcinkiewicz integrals parametric marcinkiewicz functions rough kernels marcinkiewicz interpolation theorem

Boundedness of marcinkiewicz integrals and their commutators in H^1(R^n×R^m)

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Science China Mathematics 2006年第6期49卷 770-790页

作者： YANG Dachun ZHOU Yuan School of Mathematical Sciences Beijing Normal University Beijing 100875 China School of Mathematical Sciences Beijing Normal University Beijing 100875 China

The authors establish the boundedness of marcinkiewicz integrals from the Hardy space H1(Rn × Rm) to the Lebesgue space L1(Rn × Rm) and their commutators with Lipschitz functions from the Hardy space H1(Rn × Rm) to... 详细信息

关键词： marcinkiewicz integral, commutator, Lipschitz function, atom, Hardy space,Lebesgue space, boundedness.

marcinkiewicz强大数律的推广与应用

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Chinese Quarterly Journal of Mathematics 1987年第3期 34-42页

作者：成平朱力行中国科学院系统科学研究所安徽大学

这个结果实际上已经是相当理想的了,这只要利用我们不久前所得的一项结果即可说明（3）式中的速度是无法改进,达到了古典强大数律的水平.本文则考虑{ε,i≥1}是更为一般的独立序列从（2）式,可以看到σ的强收敛,实质上是要讨论{ε,i≥1... 详细信息

这个结果实际上已经是相当理想的了,这只要利用我们不久前所得的一项结果即可说明（3）式中的速度是无法改进,达到了古典强大数律的水平.本文则考虑{ε,i≥1}是更为一般的独立序列从（2）式,可以看到σ的强收敛,实质上是要讨论{ε,i≥1}的加权和的强收敛,因此,我们得首先证明较为一般的加权和的强收敛的结果,尔后讨论σ的收敛问题.

关键词：差序列收敛速度加权和定理 marcinkiewicz 强大数律

L^p(R^m× R^n) boundedness for the marcinkiewicz integral on product spaces

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Science China Mathematics 2003年第1期46卷 75-82页

作者：胡国恩陆善镇燕敦验 Department of Applied Mathematics University of Information Engineering Department of Mathematics Beijing Normal University Institute of Mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences

Lp(Rm × Rn) boundedness is considered for the multiple marcinkiewicz integral. Some sizeconditions implying the Lp(Rm × Rn) boundedness of the multiple marcinkiewicz integral for some fixed1 ＜ p ＜∞ are obtained.

关键词： multiple marcinkiewicz integral, Fourier transform estimate, Littlewood-Paley theory.

Boundedness of Hyper-Singular Parametric marcinkiewicz Integrals with Variable Kernels

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics 2013年第11期4卷 28-34页

作者： Qiquan Fang Xianliang Shi College of Mathematics and Computer Science Hunan Normal University Key Laboratory of High Performance Computing and Stochastic Information Processing (Ministry of Education of China) Hunan Normal University Changsha China Department of Mathematics Zhejiang University of Science and TechnologyHangzhou China

In this article, we consider the boundedness of? on Hardy type space? .

关键词： Hyper-Singular marcinkiewicz Integral Variable Kernel Multilinear Commutator Hardy Type Space

A note on certain square functions on product spaces

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Science China Mathematics 2006年第1期49卷 98-108页

作者： WANG Meng, CHEN Jiecheng2 & FAN Dashan Department of Mathematics, Zhejiang University (at Yuquan campus), Hangzhou 310027, China Department of Mathematics, Zhejiang University (at Xixi campus), Hangzhou 310028, China Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, WI53201, USA Department of Mathematics Zhejiang University (at Yuquan campus) Hangzhou China Department of Mathematics Zhejiang University (at Xixi campus) Hangzhou China Department of Mathematics University of Wisconsin-Milwaukee Milwaukee USA

We study certain square functions on product spaces Rn × Rm, whose integral kernels are obtained from kernels which are homogeneous in each factor Rn and Rm and locally in L(log+ L) away from Rn × {0} and {0} × Rm by means of polynomial distortions in the radial variable. As a model case, we obtain that the marcinkiewicz integral operator is bounded on Lp(Rn × Rm)(p＞1) for Ω ∈ Llog+ L(Sn-1 × Sm-1) satisfying the cancellation condition.

关键词： square function, marcinkiewicz integral, product space.

LIMITING WEAK-TYPE BEHAVIORS FOR CERTAIN LITTLEWOOD-PALEY FUNCTIONS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2019年第1期39卷 11-25页

作者：侯宪明伍火熊 School of Mathematical Sciences Xiamen University

In this paper, we establish the following limiting weak-type behaviors of Littlewood-Paley g-function g_φ: for nonnegative function f∈ L^1(R^n),■and ■where f_t(x) =t^(-n)f(t^(-1) x) for t > 0. Meanwhile, the corresponding results for marcinkiewicz integral and its fractional version with kernels satisfying L_α~q-Dini condition are also given.

关键词： limiting behaviors weak-type bounds Littlewood-Paley g-functions marcinkiewicz integrals L_α~q -Dini conditions

紧Lie群上Fourier级数的marcinkiewicz定理

在线全文

学校读者我要写书评

暂无评论

数学年刊A辑(中文版) 1987年第6期 693-702页

作者：赵和生安徽大学

关于Fourier级数的几乎处处收敛性问题,在古典情况,有著名的marcinkiewicz定理,1965年C.P-Chang将此定理推广到T?上,本文是在一般紧Lie群上建立了与Tn上类似的marcinkiewicz定理,并改进了Tn上此定理的证明。

关键词：定理几乎处处收敛 Fourier Lie marcinkiewicz 级数