双线性分数次积分算子在极大变指标 Herz空间上的有界性
Boundedness of Bilinear FractionalIntegral Operators on GrandVariable Herz Spaces
DOI: 10.12677/PM.2023.134097, PDF, HTML, 下载: 162  浏览: 480 
作者: 方光杰：西北师范大学，数学与统计学院，甘肃 兰州
关键词: 双线性分数次积分算子；极大变指标 Herz 空间；有界性；Bilinear Fractional Integral Operator； Grand Variable Herz Space； Boundedness
摘要: 借助双线性分数次积分算子在变指标 Lebesgue 空间上的有界性，利用函数分层分解和调和分析实方法，得到了双线性分数次积分算子在极大变指标 Herz 空间上的有界性。
Abstract: Based on the boundedness of bilinear fractional integration operators on Lebesgue spaces with variable exponent, by using hierarchical decomposition of function and real methods in harmonic analysis, the boundedness of bilinear fractional integral operators is obtained on grand variable Herz spaces.
文章引用：方光杰. 双线性分数次积分算子在极大变指标 Herz空间上的有界性[J]. 理论数学, 2023, 13(4): 917-934. https://doi.org/10.12677/PM.2023.134097

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