New Hardy Spaces Associated with Some Anisotropic Herz Spaces and Their Applications

<正> In this paper,a class of anisotropic Herz-type Hardy spaces associated with a non-isotropicdilation on■are introduced,and the central atomic and molecular decomposition characterizationsof those spaces are established.As some applications of the decomposition theory,the authors stu...

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Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 24; no. 9; pp. 1449 - 1470
Main Authors Ding, Yong, Lan, Sen Hua, Lu, Shan Zhen
Format Journal Article
LanguageEnglish
Published Heidelberg Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.09.2008
Springer Nature B.V
Subjects
anisotropic
Anisotropy
Applied mathematics
atom
central
Decomposition
Eigenvalues
Hardy
Herz-type
Laboratories
Mathematics
Mathematics and Statistics
molecule
Molecules
space
Studies
δ-Calderon-Z
central atom
anisotropic Herz-type Hardy space
anisotropic Hardy space
42B30
Calderón-Zygmund operator
central molecule
43A70
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Summary:<正> In this paper,a class of anisotropic Herz-type Hardy spaces associated with a non-isotropicdilation on■are introduced,and the central atomic and molecular decomposition characterizationsof those spaces are established.As some applications of the decomposition theory,the authors studythe interpolation problem and the boundedness of the central δ-Calder6n Zygmund operators on theanisotropic Herz-type Hardy spaces.
Bibliography:Yong DING School of Mathematical Sciences,Beijing Normal University,Laboratory of Mathematics and Complex Systems (BNU),Ministry of Education,Beijing 100875,P.R.China Sen Hua LAN Department of Mathematics,Lishui University,Lishui 323000,P.R.China Shan Zhen LU School of Mathematical Sciences,Beijing Normal University,Laboratory of Mathematics and Complex Systems (BNU),Ministry of Education,Beijing 100875,P.R.China
11-2039/O1
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-007-7085-9