LP BOUNDS FOR SPECTRAL MULTIPLIERS ON NILPOTENT GROUPS

被引：143
作者：
CHRIST, M
机构：
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 328卷 / 01期
关键词：
SPECTRAL MULTIPLIER; NILPOTENT LIE GROUP; SUBELLIPTICITY; HEAT KERNEL;
D O I：
10.2307/2001877
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A criterion is given for the L(p) boundedness of a class of spectral multiplier operators associated to left-invariant, homogeneous subelliptic second-order differential operators on nilpotent Lie groups, generalizing a theorem of Hormander for radial Fourier multipliers on Euclidean space. The order of differentiability required is half the homogeneous dimension of the group, improving previous results in the same direction.
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页码：73 / 81
页数：9
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