| 一类算子在H~P(T~R)上的强平均有界与逼近 |
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| 引用本文： | 江寅生.一类算子在H~P(T~R)上的强平均有界与逼近[J].新疆大学学报(理工版),1991(3). |
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| 作者姓名： | 江寅生 |
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| 作者单位： | 新疆大学数学系 |
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| 摘 要： | 本文考虑一类在H~p(T~n)上弱(H~p,L~p)有界而非(H~p,H~p)有界的算子,利用H~p,空间原子分解理论证明这类算子在H~p(T~n)上的强平均有界性和逼近性质,本文推广了1],2]及3]的结果。
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| 关 键 词： | 强平均有界与副近 H′(T~n)的原子分解 齐性H′(T~n)乘子 |
STRONG MEAN BOUEDNESS AND APPROXIMATION ON IP(T~n) FOR A CLASS OF OPERATORS |
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| Jiang Yinsheng.STRONG MEAN BOUEDNESS AND APPROXIMATION ON IP(T~n) FOR A CLASS OF OPERATORS[J].Journal of Xinjiang University(Science & Engineering),1991(3). |
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| Authors: | Jiang Yinsheng |
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| Institution: | Depatlmwnt of Mathematic |
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| Abstract: | In this peper we consider a class of operators, which are (H',WL') bounded on H'(T~n) but not (H',H'). Using the atomic decomposition of H' function, we discuss the strong mean boundcdness and approximation on H'(T~n) for these operators. Our results generalize the results in 1], 2] and 3]. |
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| Keywords: | strong mean boundedncss and approximation: atomic decompositon on H'(T~n) homogeneois H'(T~n) type multiplier |
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