Sharp constants for a class of linear integral operators on higher-dimensional product spaces

In this paper, we will study a class of linear integral operators with the nonnegative kernels on higher-dimensional product spaces, the norms of the operators can be obtained by integral of the product of the kernel function and finitely many basic functions. As application, we obtain the sharp con...

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Bibliographic Details
Main Authors Li, Xiang, Fu, Zunwei, Hang, Zhongci
Format Journal Article
LanguageEnglish
Published 16.05.2023
Subjects
Mathematics - Classical Analysis and ODEs
Mathematics - Functional Analysis
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Summary:In this paper, we will study a class of linear integral operators with the nonnegative kernels on higher-dimensional product spaces, the norms of the operators can be obtained by integral of the product of the kernel function and finitely many basic functions. As application, we obtain the sharp constant for linear Hilbert operator on Higher-dimensional product spaces.
DOI:10.48550/arxiv.2305.09461