Factorization of Hilbert operators

In this research, we introduce some factorization for Hilbert operators of order n based on two important classes of Hausdorff operators, Cesàro and gamma. These factorizations lead us to some new inequalities, one is a generalized version of Hilbert’s inequality. Moreover, as an application of our...

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Bibliographic Details
Published in:Journal of inequalities and applications 2022-09, Vol.2022 (1), p.1-12, Article 121
Main Author: Roopaei, Hadi
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Banach spaces
Factorization
Hausdorff matrix
Hilbert matrix
Mathematics
Mathematics and Statistics
Norm
Operators
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Summary:In this research, we introduce some factorization for Hilbert operators of order n based on two important classes of Hausdorff operators, Cesàro and gamma. These factorizations lead us to some new inequalities, one is a generalized version of Hilbert’s inequality. Moreover, as an application of our factorization, we compute the norm of Hilbert operators on some matrix domains.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-022-02857-2