| A Dominated Theorem on 5L(2, R) and Its Application |
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| 引用本文： | 王信松,郑维行. A Dominated Theorem on 5L(2, R) and Its Application[J]. 东北数学, 2003, 0(1) |
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| 作者姓名： | 王信松 郑维行 |
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| 作者单位： | Department of Mathematics，Nanjing University，Nanjing，210093，Department of Mathematics，Nanjing University，Nanjing，210093 |
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| 摘 要： | In this paper, we give the following dominated theorem: Let φ(g) ∈ L1(G//K),φε(t)=ε> 0, and the least radical decreasing dominatedfunction φ(t) = sup |φ(y)| ∈L1(G//K). If shtφ(t) is monotonically decreasingon (0, ∞), then for any f∈L1loc(G//K) , the following inequality holds:sup |φε * f(x)| ≤ Cmf(x),where mf(x) is the Hardy-Littlewood maximal function of f, and C = ||φ||1.An application of this dominated theorem is also given.
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A Dominated Theorem on 5L(2, R) and Its Application |
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| WANG Xinsong and ZHENG Weixing. A Dominated Theorem on 5L(2, R) and Its Application[J]. Northeastern Mathematical Journal, 2003, 0(1) |
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| Authors: | WANG Xinsong and ZHENG Weixing |
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| Abstract: | |
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| Keywords: | SL(2 R) Hardy-Littlewood maximal function bi-invariant function |
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