| BOUNDEDNESS OF VECTOR-VALUED CALDERON-ZYGMUND OPERATORS ON HERZ SPACES WITH NON-DOUBLING MEASURES |
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| 引用本文： | Baode Li Yinsheng Jiang Hui Cao. BOUNDEDNESS OF VECTOR-VALUED CALDERON-ZYGMUND OPERATORS ON HERZ SPACES WITH NON-DOUBLING MEASURES[J]. 分析论及其应用, 2007, 23(2): 138-146. DOI: 10.1007/s10496-007-0138-1 |
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| 作者姓名： | Baode Li Yinsheng Jiang Hui Cao |
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| 作者单位： | [1]Department of Mathematics Xinjiang University Urumqi 830046 P. R. China [2]Xinjiang University, Lianyungang Normal High Academy, China |
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| 摘 要： | In the paper we obtain vector-valued inequalities for Calderon-Zygmund operator,simply CZO On Herz space and weak Herz space.In particular,we obtain vector-valued inequalities for CZO on Lq(Rd,│x│αdμ)space,with 1＜q＜∞,-n＜α＜n(q-1),and on L1,∞(Rd,│x│αdμ)space,with -n＜α＜0.
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| 关 键 词： | Herz空间 弱Herz空间 非双倍测度 Calderon-Zygmund算子 |
| 收稿时间： | 2006-09-18 |
| 修稿时间： | 2006-09-18 |
Boundedness of vector-valued Calderón-Zygmund operators on Herz spaces with non-doubling measures |
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| Baode Li,Yinsheng Jiang,Hui Cao. Boundedness of vector-valued Calderón-Zygmund operators on Herz spaces with non-doubling measures[J]. Analysis in Theory and Applications, 2007, 23(2): 138-146. DOI: 10.1007/s10496-007-0138-1 |
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| Authors: | Baode Li Yinsheng Jiang Hui Cao |
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| Affiliation: | (1) Department of Mathematics, Xinjiang University, Urumqi, 830046, P. R. China;(2) Department of Mathematics, Lianyungang Normal High Academy, Lianyungang, 222006, P. R. China |
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| Abstract: | In the paper we obtain vector-valued inequalities for Calderón-Zygmund operator, simply CZO on Herz space and weak Herz space. In particular, we obtain vector-valued inequalities for CZO on L q (℞ d , |x|α dμ) space, with 1 < q < ∞, −n < α < n(q − 1), and on L 1,∞(℞ d , |x|α dμ) space, with −n < α < 0. Supported in part by NSFC Grant # 10261007. |
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| Keywords: | Herz space weak Herz space non-doubling measure Calderon-Zygmund operator BOUNDEDNESS MEASURES HERZ SPACES weak Herz space paper inequalities operator |
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