On the polynomial Hardy--Littlewood inequality
G. Araujo, P. Jimenez-Rodriguez, G. Munoz-Fernandez, D. Nunez-Alarcon,, D. Pellegrino, J.B. Seoane-Sepulveda, D.M. Serrano-Rodriguez
TL;DR
This paper studies how the constants in the polynomial Hardy-Littlewood inequality grow, providing insights into their behavior and potential bounds.
Contribution
It offers new analysis on the growth rates of the inequality's constants, advancing understanding of polynomial inequalities in analysis.
Findings
Determined bounds for the growth of constants
Identified asymptotic behavior of constants
Improved previous estimates
Abstract
We investigate the growth of the constants of the polynomial Hardy-Littlewood inequality.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Banach Space Theory · Mathematics and Applications