Calderón-Zygmund operators in the Bessel setting for all possible type indices

被引：0
|
作者：
Alejandro J. Castro
Tomasz Z. Szarek
机构：
[1] Universidad de La Laguna,Departamento de Análisis Matemático
[2] Polska Akademia Nauk,Instytut Matematyczny
来源：
Acta Mathematica Sinica, English Series | 2014年 / 30卷
关键词：
Bessel operator; Bessel semigroup; maximal operator; square function; multiplier; Riesz transform; Calderón-Zygmund operator; 42C05; 42B20;
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学科分类号：
摘要：
We show that many harmonic analysis operators in the Bessel setting, including maximal operators, Littlewood-Paley-Stein type square functions, multipliers of Laplace or Laplace-Stieltjes transform type and Riesz transforms are, or can be viewed as, Calderón-Zygmund operators for all possible values of type parameter λ in this context. This extends results existing in the literature, but being justified only for a restricted range of λ.
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页码：637 / 648
页数：11
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