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HERZ: 作品数：119被引量：279H指数：8; 导出分析报告; 相关领域：理学医药卫生更多>>; 相关作者：束立生曹勇辉武江龙张璞张丽琴更多>>; 相关机构：新疆大学青岛大学安徽师范大学牡丹江师范学院更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划黑龙江省自然科学基金山东省自然科学基金更多>>

Decompositions of non-homogeneous Herz-type Besov and Triebel-Lizorkin spaces被引量：3: 《Science China Mathematics》2014年第2期315-331,共17页XU JingShi; supported by National Natural Science Foundation of China (Grant Nos.11071064,11361020 and 11226167);the Natural Science Foundation of Hainan Province (Grant Nos.111006 and 113004); Decompositions of non-homogeneous Herz-type Besov and Triebel-Lizorkin spaces by atoms,molecules and wavelets are given.These results generalize the corresponding results for classical Besov and Triebel-Lizorkin spaces.; 关键词：Herz space Besov space Triebel-Lizorkin space maximal operator ATOM raolecule WAVELET

Jackson-type and Bernstein-type inequalities for multipliers on Herz-type Hardy spaces: 《Science China Mathematics》2009年第3期481-492,共12页XIE LinSen LAN JiaCheng LAN SenHua YAN DunYan; supported by Key Academic Discipline of Zhejiang Province of China and National NaturalScience Foundation of China (Grant Nos. 10571014, 10631080, 10671019); We establish Jackson-type and Bernstein-type inequalities for multipliers on Herz-type Hardy spaces. These inequalities can be applied to some important operators in Fourier analysis, such as the Bochner-Riesz multipl...; 关键词：Herz-type Hardy space multiplier Jackson-type inequality Bernstein-type inequality 42B15 42B20

Multipliers and Herz type spaces被引量：2: 《Science China Mathematics》2008年第10期1919-1936,共18页LU ShanZhen School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China; the National Natural Science Foundation of China (Grant No. 10571014); Hrmander condition for boundedness of multiplier operators will be replaced by a weaker condition described by certain weighted or non-weighted Herz spaces. Some results on boundedness of multiplier operators are then...; 关键词：MULTIPLIER Herz space Herz type Hardy space 42B15 42B30 42B35

Characterization for commutators of n-dimensional fractional Hardy operators被引量：41: 《Science China Mathematics》2007年第10期1418-1426,共9页Zun-wei FU~(1,2) Zong-guang LIU~3 Shan-zhen LU~(1+) Hong-bin WANG~3 ~1 School of Mathematical Sciences,Beijing Normal University,Beijing 100875,China ~2 Department of Mathematics,Linyi Normal University,Linyi 276005,China ~3 Department of Mathematics,China University of Mining and Technology (Beijing),Beijing 100083,China; This work was partially supported by the National Natural Science Foundation of China(Grant Nos.10571014,10371080);the Doctoral Programme Foundation of Institute of Higher Education of China(Grant No.20040027001); In this paper,it was proved that the commutator H_(β,b)generated by an n-dimensional fractional Hardy operator and a locally integrable function b is bounded from L^(p1)(R^n)to L^(p2)(R^n)if and only if b is a CMO(R^...; 关键词：n-dimensional FRACTIONAL Hardy operator commutator C(M)O function homogeneous HERZ space

Boundedness of commutators on Hardy type spaces被引量：11: 《Science China Mathematics》2002年第8期984-997,共14页陆善镇吴强杨大春; This work was supported by the National 973 Project of China (Grant No.G19990751); the National Natural Science Foundation of China (Grant No. 19131080) ; the State Education Department Foundation of China (Grant No. 20010027002).; Let [b,T] be the commutator of the functionb ∈ Lip β (? n ) (0 <β ? 1)and the Calderón-Zygmund singular integral operatorT. The authors study the boundedness properties of [b,T] on the classical Hardy spaces and t...; 关键词：singular integral commutator Lipschitz space HARDY space LEBESGUE space weak space HERZ space atom RIESZ potential.

Herz-type Hardy spaces on Vilenkin groups and their applications被引量：4: 《Science China Mathematics》2000年第5期481-494,共14页范大山杨大春; Let 1; 关键词：VILENKIN group HERZ SPACE HARDY SPACE weight ATOM block FRACTIONAL integral.

Besov spaces and Herz spaces on local fields被引量：2: 《Science China Mathematics》1998年第10期1051-1060,共10页朱月萍郑维行; The relationship of Besov spaces and Herz spaces on local fi elds is given. As an application, one multiplier theorem is obtained. And the de compositional characterization of the weighted Besov spaces is established.; 关键词：BESOV SPACES HERZ SPACES local fields MULTIPLIER atom_ decomposition.

Herz-type Sobolev and Bessel potential spaces and their applications被引量：14: 《Science China Mathematics》1997年第2期113-129,共17页陆善镇杨大春; Project supported by the National Science Foundation of China.; The Herz-type Sobolev spaces are introduced and the Sobolev theorem is established. The Herz-type Bessel potential spaces and the relation between the Herz-type Sobolev spaces and Bessel potential spaces are discussed...; 关键词：HERZ SPACE HARDY SPACE SOBOLEV SPACE BESSEL potential SPACE compensated COMPACTNESS theory regularity.

The weighted Herz-type Hardy space and its applications被引量：71: 《Science China Mathematics》1995年第6期662-673,共12页陆善镇杨大春; Project supported by the National Natural Science Foundation of China.; A certain weighted Herz-type Hardy space is introduced and its atom-decomposition theory is established. As applications of this theory, a boundedness theorem of sublinear operators and an interpolation theorem of lin...; 关键词：A1-weight HERZ SPACE HARDY SPACE central atom.

The decomposition of weighted Herz space on R^n and its applications被引量：45: 《Science China Mathematics》1995年第2期147-158,共12页陆善镇杨大春; Project supported by the National Natural Science Foundation of China.; The decompositional characterizations of the weighted Herz spaces on Rn are established. Using this decomposition, the boundedness on the weighted Herz spaces for a large class of sublinear operators is studied.; 关键词：WEIGHT unit HERZ SPACE HARDY SPACE SUBLINEAR operator.

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