p进域多线性分数阶积分算子及其与CBMO函数交换子的有界性
Boundedness of Multilinear Fractional Integral Operators and Their Commutators with CBMO Functions on p-Adic Fields
DOI: 10.12677/PM.2026.163080, PDF,    科研立项经费支持
作者: 邢曦文:牡丹江师范学院数学科学学院,黑龙江 牡丹江
关键词: p进域多线性分数次积分算子中心Morrey空间p-Adic Field Multilinear Fractional Integral Operator Central Morrey Space
摘要: 本文证明了在p进域意义下,多线性分数次积分算子在Lebesgue空间上的有界性及其与CBMO函数生成的迭代交换子在中心Morrey空间上的有界性。
Abstract: This paper establishes the boundedness of the multilinear fractional integral operator on p-adic Lebesgue spaces, as well as the boundedness of its iterated commutators with central BMO functions on p-adic central Morrey spaces.
文章引用:邢曦文. p进域多线性分数阶积分算子及其与CBMO函数交换子的有界性[J]. 理论数学, 2026, 16(3): 166-176. https://doi.org/10.12677/PM.2026.163080

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