PREDUAL SPACES FOR Q SPACES
To find the predual spaces Pα（R^n） of Qα（R^n） is an important motivation in the study of Q spaces. In this article, wavelet methods are used to solve this problem in a constructive way. First, an wavelet tent atomic characterization of Pα（Rn） is given, then its usual atomic characterization and Pois...
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| Published in | Acta mathematica scientia Vol. 29; no. 2; pp. 243 - 250 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.03.2009
LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China%Department of Mathematics, Wuhan University, Hubei 430072, China |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0252-9602 1572-9087 |
| DOI | 10.1016/S0252-9602(09)60025-4 |
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| Abstract | To find the predual spaces Pα（R^n） of Qα（R^n） is an important motivation in the study of Q spaces. In this article, wavelet methods are used to solve this problem in a constructive way. First, an wavelet tent atomic characterization of Pα（Rn） is given, then its usual atomic characterization and Poisson extension characterization are given. Finally, the continuity on Pα of Calderon-Zygmund operators is studied, and the result can be also applied to give the Morrey characterization of Pα（Rn）. |
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| AbstractList | To find the predual spaces
Pα(
R
n
) of
Qα(
R
n
) is an important motivation in the study of
Q spaces. In this article, wavelet methods are used to solve this problem in a constructive way. First, an wavelet tent atomic characterization of
Pα(
R
n
) is given, then its usual atomic characterization and Poisson extension characterization are given. Finally, the continuity on
Pα of Calderón-Zygmund operators is studied, and the result can be also applied to give the Morrey characterization of
Pα(
R
n
). To find the predual spaces Pα（R^n） of Qα（R^n） is an important motivation in the study of Q spaces. In this article, wavelet methods are used to solve this problem in a constructive way. First, an wavelet tent atomic characterization of Pα（Rn） is given, then its usual atomic characterization and Poisson extension characterization are given. Finally, the continuity on Pα of Calderon-Zygmund operators is studied, and the result can be also applied to give the Morrey characterization of Pα（Rn）. To find the predual spaces P[alpha](R[super]n) of Q[alpha](R[super]n) is an important motivation in the study of Q spaces. In this article, wavelet methods are used to solve this problem in a constructive way. First, an wavelet tent atomic characterization of P[alpha](R[super]n) is given, then its usual atomic characterization and Poisson extension characterization are given. Finally, the continuity on P[alpha] of Calderon-Zygmund operators is studied, and the result can be also applied to give the Morrey characterization of P[alpha](R[super]n). O1; To find the predual spaces PαRn) of QαRn) is an important motivation in the study of Q spaces. In this article, wavelet methods are used to solve this problem in a constructive way. First, an wavelet tent atomic characterization of PαRn) is given, then its usual atomic characterization and Poisson extension characterization are given. Finally, the continuity on Pαof Calderón-Zygmund operators is studied, and the result can be also applied to give the Morrey characterization of PαRn). |
| Author | 彭立中 杨奇祥 |
| AuthorAffiliation | LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China Department of Mathematics, Wuhan University, Hubei 430072, China |
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| Cites_doi | 10.1007/BF02384542 10.1090/S0002-9947-1938-1501936-8 10.1016/S0022-1236(03)00181-2 10.1006/jfan.1997.3114 10.1524/anly.1995.15.2.101 10.1006/acha.1996.0011 10.1016/S0022-1236(03)00020-X 10.1007/s11202-005-0014-1 |
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| Copyright | 2009 Wuhan Institute of Physics and Mathematics Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
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| Keywords | 46E15 tent atom Qα space wavelets Calderón-Zygmund operator predual spaces 42C15 Besov spaces usual atom Poisson extension Poisson exten-sion Calderon-Zygmund operator Qαspace |
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| Snippet | To find the predual spaces Pα（R^n） of Qα（R^n） is an important motivation in the study of Q spaces. In this article, wavelet methods are used to solve this... To find the predual spaces Pα( R n ) of Qα( R n ) is an important motivation in the study of Q spaces. In this article, wavelet methods are used to solve this... To find the predual spaces P[alpha](R[super]n) of Q[alpha](R[super]n) is an important motivation in the study of Q spaces. In this article, wavelet methods are... O1; To find the predual spaces PαRn) of QαRn) is an important motivation in the study of Q spaces. In this article, wavelet methods are used to solve this... |
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| SubjectTerms | 42C15 46E15 Besov spaces Calderón-Zygmund operator d算子 L空间 Poisson extension predual spaces Qα space Q空间 tent atom usual atom wavelets 小波方法 注册商标 结构表征 连续性 |
| Title | PREDUAL SPACES FOR Q SPACES |
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