Sharp constants for a class of linear integral operators on higher-dimensional product spaces
Functional Analysis
2023-05-17 v1 Classical Analysis and ODEs
Abstract
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.
Cite
@article{arxiv.2305.09461,
title = {Sharp constants for a class of linear integral operators on higher-dimensional product spaces},
author = {Xiang Li and Zunwei Fu and Zhongci Hang},
journal= {arXiv preprint arXiv:2305.09461},
year = {2023}
}