| 局部域上的仿交换算子 |
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| 引用本文： | 邹进.局部域上的仿交换算子[J].数学学报,1997,40(2):296-300. |
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| 作者姓名： | 邹进 |
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| 作者单位： | 乐山师专数学系 乐山614004 |
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| 摘 要： | 本文的主要结果是:当A(ξ,η)满足A0,A1,A2,A3,A4时,则T_b在L~2(K)中有界的充要条件是b∈BMO(K).并用此结果推出带符号b的分数次积分交换子,奇异积分交换子在L~2(K)中有界的充要条件,和带符号b的乘子交换子在L~2(K)中有界的一个充分条件.
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| 关 键 词： | 局部域 仿交换算子 BMO |
| 收稿时间： | 1995-3-2 |
| 修稿时间： | 1996-4-12 |
Paracommutators on Local Fields |
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| Zou Jin.Paracommutators on Local Fields[J].Acta Mathematica Sinica,1997,40(2):296-300. |
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| Authors: | Zou Jin |
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| Institution: | Zou Jin
(Deportment of Mathematics, Leshan Teachers' College, Leshan 614004, China) |
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| Abstract: | The main result of this paper is: suppose that A(ζ,η) satisfies A0, A1, A2, A3, A4, then Tb is bounded on L2(K) if and only if b eBMO(K). We apply this result to prove that the commutator of fractional integration with b is bounded on L2(K) if and only if b∈I-s(BMO), (-1 < s < 0), the commutator of singular integral transform with b is bounded on L2(K) if and only if b∈BMO(K), and the commutator of multiplier with b is bounded on L2(K) if b∈BMO(K). |
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| Keywords: | Local field Paracommutator BMO |
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