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

2023/05/16 by Xiang Li, Li, Xiang, Zunwei Fu +3
Mathematics · #Differential Equations and Boundary Problems #Algebraic and Geometric Analysis #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2305.09461

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.

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