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Certain averaging operators on Triebel-Lizorkin spaces

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摘要 In this article,we study the boundedness properties of the averaging operator S_(t)^(γ) on Triebel-Lizorkin spaces F_(p,q)^(α)(R^(n))for various p,q.As an application,we obtain the norm convergence rate for S_(t)^(γ)(f)on Triebel-Lizorkin spaces and the relation between the smoothness imposed on functions and the rate of norm convergence of S_(t)^(γ) is given.
作者 ZHAO Jun-yan PAN Ya-li
机构地区 College of Mathematics and Computer Science Department of Mathematics
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2022年第4期546-562,共17页 高校应用数学学报（英文版）（B辑）
基金 Supported by the National Natural Science Foundation of China(12071437,12101562) the Natural Science Foundation of Zhejiang(LQ20A010003) the Natural Science Foundation from the Education Department of Anhui Province(KJ2017A847).
关键词 spherical mean Triebel-Lizorkin spaces norm convergence saturation of approximation Bessel function wave operator oscillatory integrals
分类号 O177 [理学—基础数学]
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Applied Mathematics(A Journal of Chinese Universities)
2022年 第4期

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