Factorization of Hausdorff Operators

Throughout this study, we will gain a deeper understanding of Hausdorff operators that are commonly used in operator theory. The Hausdorff matrices Gamma, Cesàro, and Hölder are factorized here to derive novel inequalities. Specifically, a factorization based on the Gamma operator has also been intr...

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Bibliographic Details
Published in:Axioms 2024-12, Vol.13 (12), p.813
Main Author: Roopaei, Hadi
Format: Article
Language:English
Subjects:
Factorization
Hausdorff operator
Laplace transforms
Mathematical research
norm
Operator theory
Operators
sequence space
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Summary:Throughout this study, we will gain a deeper understanding of Hausdorff operators that are commonly used in operator theory. The Hausdorff matrices Gamma, Cesàro, and Hölder are factorized here to derive novel inequalities. Specifically, a factorization based on the Gamma operator has also been introduced for these three operators. In addition, the author introduces a factorization for the Hölder operator based on the Cesàro operator, which was previously discovered by famous mathematicians but this time is handled with an entirely different approach.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms13120813