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5. Multiplier theorems for special Hermite expansions on

Multiplier theorems for special Hermite expansions on

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：jtyz888

【摘 要】

：

The weak type (1,1) estimate for special Hermite expansions on Cn is proved by using the Calderon-Zygmund decomposition. Then the multiplier theorem in Lp(1 【

【作 者】

：

张震球 郑维行 

【机 构】

：

DepartmentofMathematics,TianjinUniversity,Tianjin300072,China,NanjingUniversity,Nanjing210093,China

【出 处】

：

中国科学：数学英文版

【发表日期】

：

2000年7期

【关键词】

：

SPECIAL Hermite EXPANSIONS LAGUERRE functions MULTIPLIER TWISTED convolution. sp 

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论文部分内容阅读

The weak type (1,1) estimate for special Hermite expansions on Cn is proved by using the Calderon-Zygmund decomposition. Then the multiplier theorem in Lp(1 【 p 【 ω ) is obtained. The special Hermite expansions in twisted Hardy space are also considered.

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