Multiplier theorems for special Hermite expansions on C n |
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| Authors: | Zhenqiu Zhang Weixing Zheng |
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| Affiliation: | 1. Department of Mathematics, Tianjin University, 300072, Tianjin, China
2. Department of Mathematics, Nanjing University, 210093, Nanjing, China
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| Abstract: | The weak type (1,1) estimate for special Hermite expansions on Cn is proved by using the Calder/'on-Zygmund decomposition. Then the multiplier theorem in Lp(lpα) is obtained. The special Mermite expansions in twisted Hardy space are also considered. As an application, the multipliers for a certain kind of Laguerre expansions are given in Lp space. |
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