Commutators and Analytic Dependence of Fourier-Bessel Series on $(0,infty)$

Canadian mathematical bulletin

关键词: Fourier-Bessel series;    commutators;    BMO;    $A_p$ weights;   

DOI  :  10.4153/CMB-1999-024-1

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

In this paper we study the boundedness of the commutators $[b,S_n]$ where $b$ is a $BMO$ function and $S_n$ denotes the $n$-thpartial sum of the Fourier-Bessel series on $(0,infty)$.Perturbing the measure by $exp(2b)$ we obtain that certainoperators related to $S_n$ depend analytically on the functionalparameter $b$.

【 授权许可】

Unknown