Conjugacy for Fourier-Bessel expansions

被引：11
|
作者：
Ciaurri, Oscar
Stempak, Krzysztof
机构：
[1] Univ La Rioja, Dept Matemat & Computac, Logrono 26004, Spain
[2] Politechn Wroclawska, Inst Matemat & Informat, PL-50370 Wroclaw, Poland
来源：
STUDIA MATHEMATICA | 2006年 / 176卷 / 03期
关键词：
Fourier-Bessel expansions; conjugate operator; weighted norm inequalities; A(p) weights; conjugate Poisson integrals;
D O I：
10.4064/sm176-3-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define and investigate the conjugate operator for Fourier-Bessel expansions. Weighted norm and weak type (1, 1) inequalities are proved for this operator by using a local version of the Calderon-Zygmund theory, with weights in most cases more general than A(p) weights. Also results on Poisson and conjugate Poisson integrals are furnished for the expansions considered. Finally, an alternative conjugate operator is discussed.
引用
收藏
页码：215 / 247
页数：33
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