曲阜师范大学学报（自然科学版）2025，Vol.51Issue(2)：1-8,8.DOI:10.3969/j.issn.1001-5337.2025.2.001
广义加权空间关于卷积的稳定性及应用
The stability and applications of convolution on the generalized weighted spaces
摘要
Abstract
In this paper,based on the operator theory and classical complex analysis,we deeply study the gen-eralized weighted Lebesgue spaces by replacing the classical weighted Lp-norms by a more general class of rota-tionally symmetric gauge norms.Due to the definitions and properties of the weighted convolution,we characterize the algebraic stability of the generalized weighted spaces,and then apply the theory to solve the convergence prob-lems related to the approximate identity elements with respect to the convolution.关键词
旋转不变gauge范数/加权勒贝格空间/卷积/稳定性/逼近单位元Key words
rotationally symmetric gauge norms/weighted Lebesgue spaces/convolution/stability/ap-proximate identity分类
数学引用本文复制引用
薛婷,藏雅妮,陈艳妮..广义加权空间关于卷积的稳定性及应用[J].曲阜师范大学学报（自然科学版）,2025,51(2):1-8,8.基金项目
国家自然科学基金(11971283). （11971283）
