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

被引：12
|
作者：
Castro, Alejandro J. [1 ]
Szarek, Tomasz Z. [2 ]
机构：
[1] Univ La Laguna, Dept Anal Matemat, San Cristobal la Laguna 38271, Spain
[2] Polish Acad Sci, Inst Matemat, PL-00956 Warsaw, Poland
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2014年 / 30卷 / 04期
关键词：
Bessel operator; Bessel semigroup; maximal operator; square function; multiplier; Riesz transform; Calderon-Zygmund operator; RIESZ TRANSFORMS; NORM INEQUALITIES; MULTIPLIERS; EXPANSIONS;
D O I：
10.1007/s10114-014-2326-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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, Caldern-Zygmund operators for all possible values of type parameter lambda in this context. This extends results existing in the literature, but being justified only for a restricted range of lambda.
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页码：637 / 648
页数：12
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