Spectral multipliers of Laplace transform type for the Laguerre operator

被引：13

作者：

Sasso, E ^{[1
]}

机构：

[1] Univ Genoa, Dipartimento Matemat, I-16146 Genoa, Italy

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2004年 / 69卷 / 02期

关键词：

D O I：

10.1017/S0004972700035991

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We shall work with the Laguerre measure on R-+(d) and the associated Laplacian L-alpha, by means of which the Laguerre semigroup is defined. Our main result is a multiplier theorem, saying that a function of L-alpha which is of Laplace transform type defines an operator of weak type (1, 1) for the Laguerre measure. Our starting point is the well-known relationship between the Laguerre and Ornstein-Uhlenbeck semigroups.

引用

页码：255 / 266

页数：12

共 12 条

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