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国家自然科学基金(11071065): 作品数：10被引量：21H指数：3; 导出分析报告; 相关作者：陈洁毛念英更多>>; 相关机构：湖南师范大学更多>>; 相关期刊：《数学学报（中文版）》《中国科学：数学》《Acta Mathematica Sinica,English Series》《Applied Mathematics(A Journal of Chinese Universities)》更多>>; 相关主题：BOUNDEDNESSDOMAINSDOMAINOVEROPERATORS更多>>; 相关领域：理学自动化与计算机技术航空宇航科学技术更多>>

Boundedness of parammetric Marcinkiewicz integrals on weighted Hardy spaces: 《Applied Mathematics(A Journal of Chinese Universities)》2015年第3期253-262,共10页SHI Xian-liang SUN Jie; Supported by the National Natural Science Foundation of China(11071065 and 11171306); In this paper, several new results on the boundedness of parammetric Marcinkiewicz integrals on the weighted Hardy spaces and the weak weighted Hardy spaces are established.; 关键词：parammetric Marcinkiewicz integral weight function weighted Hardy space weak weighted Hardy space

A characterization of generator for multiresolution analysis with composite dilations: 《Applied Mathematics(A Journal of Chinese Universities)》2014年第3期317-328,共12页SHI Xian-liang CHEN Jie; Supported by the National Natural Science Foundation of China(11071065,11171306); In this paper, we will introduce multiresolution analysis with composite dilations and give a characterization of generator for multiresolution analysis with composite dilations.; 关键词：MRA GENERATOR Riesz basis composite dilation characterization.

Pointwise Convergence of Wavelets of Generalized Shannon Type: 《Acta Mathematica Sinica,English Series》2013年第12期2343-2354,共12页Xian Liang SHI Wei WANG; Supported by National Natural Science Foundation of China(Grant Nos.10671062,11071065 and 11171306);Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20094306110004);Hu’nan Provincial Natural Science Foundation of China(Grant No.06JJ5012); In this paper, a new result on pointwise convergence of wavelets of generalized Shannon type is proved, which improves a theorem established by Zayed.; 关键词：Shannon type wavelet wavelet expansions pointwise convergence

An application of Chen's theorem to convergence of Fourier multiplier transforms: 《Applied Mathematics(A Journal of Chinese Universities)》2013年第4期455-464,共10页SHI Xian-liang CHEN Yang HU Lan; Supported by the National Natural Science Foundation of China(11071065,11171306); Let V be a star shaped region. In 2006, Colzani, Meaney and Prestini proved that if function f satisfies some condition, then the multiplier transform with the characteristic function of tV as the multiplier tends to ...; 关键词：Fourier transform MULTIPLIER SUMMABILITY CONVERGENCE almost everywhere

紧框架中的Korovkin型定理被引量：4: 《中国科学：数学》2013年第11期1131-1144,共14页施咸亮陈洁; 国家自然科学基金(批准号:11071065和11171306);湖南省重点学科建设项目资助项目; 关于线性正算子的Korovkin定理在函数逼近理论中是著名的定理,本文将建立几个关于紧框架的Korovkin型定理.; 关键词：紧框架 Korovkin型定理Bessel序列卷积

Boundedness for a Class of Generalized Commutators on λ-Central Morrey Space被引量：4: 《Acta Mathematica Sinica,English Series》2013年第10期1917-1926,共10页Xiao YU Xiang Xing TAO; supported by National Natural Science Foundation of China(Grant Nos.11226104 and 11226109);supported by National Natural Science Foundation of China(Grant Nos.11171306 and 11071065);Natural Science Foundation of Jiangxi Province(Grant No.20114BAB211007); Let 0 〈 a 〈 n, Ω be a rough kernel, and let A have derivatives of order m- 1 in CI3MOTM with m ≥ 2. We consider a class of generalized commutators TΩA,α of Cohen-Gosselin type, and obtain the boundedness of TΩA...; 关键词：Generalized commutator central Morrey ＇space central-BMO space

On Parseval super-frame wavelets被引量：1: 《Applied Mathematics(A Journal of Chinese Universities)》2012年第2期192-204,共13页LI Zhong-yan SHI Xian-liang; Supported by the National Natural Science Foundation of China(11071065,11101142,11171306,10671062);the China Postdoctoral Science Foundation(20100480942);the Ph.D.Programs Foundation of the Ministry of Education of China(20094306110004);the Program for Science and Technology Research Team in Higher Educational Institutions of Hunan Province; Suppose that η1,...,η_n are measurable functions in L2（R）.We call the n-tuple（η1,...,ηn） a Parseval super frame wavelet of length n if {2^（k/2） η1（2~kt-l） ⊕···⊕2^（k/2） ηn（2kt-l）：k,l∈Z} is a Pa...; 关键词：Parseval frame wavelet super frame s-elementary Parseval super frame wavelet.

卷积算子的Gibbs现象: 《数学学报（中文版）》2011年第5期715-720,共6页毛念英施咸亮; 国家自然科学基金资助项目(11071065);高校博士点科研基金(20094306110004);湖南省高校科技刨新团队支援计划资助项目; 本文建立了一般卷积算子在函数的第一类间断点处有Gibbs现象的刻画定理,并且给出了某些例子.; 关键词：第一类间断点卷积算子 Gibbs现象

Dyadic Bivariate Wavelet Multipliers in L^2（R@2）被引量：2: 《Acta Mathematica Sinica,English Series》2011年第8期1489-1500,共12页Zhong Yan LI Xian Liang SHI; Supported by NSFC （Grant Nos. 10671062 and 11071065）, Ph. D Programs Foundation of Ministry Education of China （Grant No. 20094306110004）; the first author !Ls also partially supported by the Project-sponsored by SRF for ROCS, SEM, the Fundamental Research Funds for the Central Universities, and China Postdoctoral Science Foundation funded project （Grant No. 20100480942）; The single 2 dilation wavelet multipliers in one-dimensional case and single A-dilation （where A is any expansive matrix with integer entries and [detA[ = 2） wavelet multipliers in twodimen- sional case were complet...; 关键词：Dyadic bivariate wavelet dyadic bivariate wavelet multiplier dyadic MRA bivariate wavelet dyadic low pass filter Haar type dyadic wavelet

Multilinear Calder′on Zygmund operators on variableexponent Morrey spaces over domains被引量：10: 《Applied Mathematics(A Journal of Chinese Universities)》2011年第2期187-197,共11页TAO Xiang-xing YU Xiao ZHANG Hui-hui; Supported by the National Natural Science Foundation of China (11071065, 10771110, 10471069);sponsored by the 151 Talent Fund of Zhejiang Province; The boundedness of multilinear singular integrals of Calder′on-Zygmund type onproduct of variable exponent Lebesgue spaces over both bounded and unbounded domains areobtained. Further more, the boundedness for this t...; 关键词：multilinear Calder′on Zygmund operator variable exponent Lebesgue space over domain variableexponent Morrey space over domain.

国家自然科学基金(11071065)