p-Adic 向量空间上分式积分算子的换元数的 $$L\log L$$ 型估计值

IF 0.7 4区数学 Q2 MATHEMATICS Complex Analysis and Operator Theory Pub Date : 2024-04-09 DOI:10.1007/s11785-024-01514-4

YunPeng Chang, LiangJuan Yu, LinQi Sun, HuangZhi Xia

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引用次数: 0

摘要

本文的主要目的是在 p-adic 版本的 Lebesgue 空间的背景下，证明分数积分算子换元的弱型 $L \log L$ 估计和高阶估计，其中换元的符号属于 p-adic 版本的 ${\text {BMO}}$空间。此外，我们还建立了 p-adic 向量空间上尖锐函数的估计。

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$$L\log L$$ Type Estimates for Commutators of Fractional Integral Operators on the p-Adic Vector Space

In this paper, the main aim is to prove the weak type $L \log L$ estimates for commutators of fractional integral operators and the higher order in the context of the p-adic version of Lebesgue spaces, where the symbols of the commutators belong to the p-adic version of ${\text {BMO}}$ space. In addition, we also establish the estimates of the sharp function on the p-adic vector space.

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来源期刊

Complex Analysis and Operator Theory 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

107

审稿时长

3 months

期刊介绍： Complex Analysis and Operator Theory (CAOT) is devoted to the publication of current research developments in the closely related fields of complex analysis and operator theory as well as in applications to system theory, harmonic analysis, probability, statistics, learning theory, mathematical physics and other related fields. Articles using the theory of reproducing kernel spaces are in particular welcomed.

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