ON LITTLEWOOD-PALEY FUNCTION'S ASSOCIATED WITH BESSEL OPERATORS

被引：33
作者：
Betancor, J. J. [1 ]
Farina, J. C. [1 ]
Sanabria, A. [1 ]
机构：
[1] Univ La Laguna, Dept Anal Matemat, Tenerife 38271, Islas Canarias, Spain
来源：
GLASGOW MATHEMATICAL JOURNAL | 2009年 / 51卷
关键词：
HERMITE FUNCTION EXPANSIONS; RIESZ TRANSFORMS;
D O I：
10.1017/S0017089508004539
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study L-P-boundedness properties for higher order Littlewood-Paley g-functions in the Bessel setting. We use the Calderon-Zygmund theory in a homogeneous-type space (in the sense of Coifman and Weiss) ((0, infinity), d, gamma(alpha)), where d represents the usual metric on (0, infinity) and gamma(alpha), denotes the doubling measure on (0, infinity) with respect to d defined by d gamma(alpha)(x) = x(2 alpha+1)dx, with alpha > - 1/2.
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页码：55 / 70
页数：16
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