| L~p ESTIMATES FOR BI-INVARIANT OPERATORS ON CLASSICAL GROUPS |
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| 作者姓名： | Fan Dashan |
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| 作者单位： | Fan Dashan * *Department of Mathematics，Anhui University，Hefei 230039，China and Department of Mathematical |
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| 基金项目： | ProjectsupportedbyagrantoftheGraduateSchoolResearchCommitteeinUniversityofWisconsin Milwaukee |
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| 摘 要： | §1.ＩｎｔｒｏｄｕｃｔｉｏｎＳｕｐｐｏｓｅｔｈａｔＧｉｓａｃｏｍｐａｃｔＬｉｅｇｒｏｕｐａｎｄ^ＧｉｓａｍａｘｉｍａｌｃｏｌｌｅｃｔｉｏｎｏｆｉｎｅｑｕｉｖａｌｅｎｔｉｒｒｅｄｕｃｉｂｌｅｕｎｉｔａｒｙｒｅｐｒｅｓｅｎｔａｔｉｏｎｏｆＧ.Ｇｉｖｅｎａｂｏｕｎｄｅｄｍｕｌｔｉｓｅｑｕｅｎｃｅ{ｍ(λ)}λ∈^Ｇ,ｍ(λ)∈Ｃ｜,ｄｅｆｉｎｅｔｈｅｏｐｅｒａｔｏｒＴｏｎｔｈｅｓｐａｃｅｏｆｆｉｎｉｔｅｌｉｎｅａｒｃｏｍｂｉｎａｔｉｏｎｓｏｆｅｎｔｒｙｆｕｎｃｔｉｏｎｓｏｎＧｂｙｗｒｉｔｉｎｇ(Ｔ^ｆ)(λ)=ｍ(λ)^…
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| 关 键 词： | L^p估计 BI不变量 古典群 乘法理论 伯松核 |
| 收稿时间： | 4/7/1994 12:00:00 AM |
Lp ESTIMATES FOR BI-INVARIANT OPERATORS ON
CLASSICAL GROUPS |
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| Fan Dashan.L~p ESTIMATES FOR BI-INVARIANT OPERATORS ON CLASSICAL GROUPS[J].Chinese Annals of Mathematics,Series B,1996,17(4):434-444. |
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| Authors: | Fan Dashan |
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| Institution: | DepartmentofMathematics,AnhuiUniversity,Hefei230039,ChinaandDeprtmentofMathermaticalScience,UniversityofWisconsin-Milwaukee,Milwaukee,WI53201.USA. |
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| Abstract: | The main purpose of this paper is to extend to classical groups a H*irmander multiplier theorem concerning translation invariant operators on L p spaces which are known for the n-torus. |
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| Keywords: | H*irmander multiplier theorem L p space Classical group Poisson kernel |
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