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Bilinear Operators on herz-type hardy spaces on Locally Compact Vilenkin Groups

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Acta Mathematica Sinica,English Series 2005年第3期21卷 599-612页

作者： Can Qin TANG Qing Guo LI Bo Lin MA Department of Mathematics Hunan University Changsha 410082 P. R. China Department of Mathematics Hunan University of Arts and Science Changde 415000 P. R. China

Let G be a locally compact Vilenkin group. In this paper the authors study the boundedness of bilinear operators B（f, g） given by finite sums of products of Calderdn-Zygmund operators in herz space and herz-type hardy space on G. And an example, the boundedness from the products of herz space to herz-type hardy space is given in the last section.

关键词： Bilinear operator herz-type hardy space Vilenkin Group

Remarks on herz-type hardy spaces Dedicated to Professor Kozo Yabuta on the occasion of his 60th birthday

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Acta Mathematica Sinica,English Series 2001年第2期17卷 339-360页

作者： Akihiko MIYACHI Department of Mathematics Tokyo Woman's Christian University. 2-6-1 Zempukuji. Suginami-ku. Tokyo 167-8585. JAPAN

Basic properties of the herz-type hardy spaces HKqa,p, such as the boundedness of singular integral operators and the fractional integration operators, atomic decomposition, dense subspaces, etc., are established in t... 详细信息

关键词： herz-type hardy space Singular integral Flactional integration Multilinear operator.

Some Characterizations of Weighted herz-type hardy spaces and Their Applications

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Acta Mathematica Sinica,English Series 1997年第1期13卷 45-58页

作者： Lu Shanzhen (Department of Mathematics,Beijing Normal University,Beijing,100875,China)(E-mail:lusz@***)Yang Dachun (Department of Mathematics,Beijing Normal University,Beijin9,100875,China)(E-mail:dcyang@***) 北京师范大学数学系北京

In this paper,the authors first establish some new real-variable characterizations of herz- type hardy spaces Hqα,p（ω1;ω2）and HKqα,P（ω1;ω2）,where ω1,ω2 ∈A1-weight,1 详细信息

In this paper,the authors first establish some new real-variable characterizations of herz- type hardy spaces Hqα,p（ω1;ω2）and HKqα,P（ω1;ω2）,where ω1,ω2 ∈A1-weight,1spaces,and study the boundedness of some potential operators on these spaces.

关键词： herz space herz-type hardy space Potential operator

Two Operators Related to Marcinkiewicz Integrals

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Acta Mathematica Sinica,English Series 2009年第10期25卷 1617-1634页

作者： Hui Xia MO Shan Zhen LU School of Science Beijing University of Post and Telecommunications Beijing 100876 China School of Mathematical Sciences Normal University Beijing 100875 China

In this paper, the authors consider the boundedness of generalized higher commutator of Marcinkiewicz integral μΩ^b, multilinear Marcinkiewicz integral μΩ^A and its variation μΩ^A on herz-type hardy spaces, here Ω is homogeneous of degree zero and satisfies a class of L^s-Dini condition. And as a special case, they also get the boundedness of commutators of Marcinkiewicz integrals on herz-type hardy spaces.

关键词： generalized higher commutator of Marcinkiewicz integral multilinear Marcinkiewicz integral herz-type hardy space Lipschitz space

Boundedness of some multipliers on stratified Lie groups

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Frontiers of Mathematics in China 2015年第1期10卷 137-146页

作者： Mingju LIU Deming LI Department of Mathematics Beihang University Beijing 100191 China LMIB of the Ministry of Education Beijing 100191 China Department of Mathematics Capital Normal University Beijing 100048 China

Let ￡ be the sub-Laplacian on a stratified Lie group G, and let m be a function defined on [0, ＋∞）. We give the boundedness of the multiplier operators m（￡） on herz-type hardy spaces on G.

关键词： Stratified group herz-type hardy space multiplier

Continuity of Higher Order Commutators on Certain hardy spaces

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Acta Mathematica Sinica,English Series 2002年第2期18卷 391-404页

作者： DING Yong LU Shan Zhen Department of Mathematics,Beijing Normal University,Beijing 100875.P.R.China E-mail:dingy@*** lusz@***ZHANG Pu Department of Mathematics.Zhejiang University(at Xixi Campus).Hangzhou 310028,P.R.China,E-mail:zhpjj@263,net Department of Mathematics Beijing Normal University Beijing P.R. China Department of Mathematics Zhejiang University (at Xixi Campus) Hangzhou P.R. China

In this *** authors study the continuity properties of higher order commutators generated by the homogeneous fractional integral and BMO functions on certain hardy spaces,weak hardy spaces and herz-type hardy spaces.

关键词： Fractional integral Homogeneous kernel L^r-Dini condition hardy space herz-type hardy space

BOUNDEDNESS OF COMMUTATORS OF FRACTIONAL INTEGRATI ON ONherz-type spaceS

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Acta Mathematica Scientia 2000年第4期20卷 461-470页

作者：刘宗光 Department of Mathematics Zhejiang University Hangzhou 310028 China

This paper establishes some strong type and weak type estimates for commutator [b,I1] on herz-type spaces, where b E BMO(Rn) and I1 is a fractional integration with O < l < n.

关键词： herz space weak herz space herz-type hardy space fractional integration BMO(Rn) function commutator