Weak type estimates for Riesz-Laguerre transforms

被引：8

作者：

Sasso, Emanuela ^{[1
]}

机构：

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

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2007年 / 75卷 / 03期

关键词：

D O I：

10.1017/S0004972700039320

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the first order Riesz transforms associated to the Laguerre semigroup are weak-type (1, 1). We also present a counterexample showing that for the Riesz transforms of order three or higher the weak type (1, 1) estimate fails.

引用

页码：397 / 408

页数：12

共 13 条

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