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arXiv · 1507.01431

Estimates on the norm of polynomials and applications

Gustavo Araújo·Pablo Jiménez-Rodríguez·Gustavo A. Muñoz-Fernández·Juan B. Seoane-Sepúlveda
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Abstract

In this paper, equivalence constants between various polynomial norms are calculated. As an application, we also obtain sharp values of the Hardy--Littlewood constants for $2$-homogeneous polynomials on $\ell_p^2$ spaces, $2<p\leq\infty$ and lower estimates for polynomials of higher degrees.

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Gustavo Araújo, Pablo Jiménez-Rodríguez, Gustavo A. Muñoz-Fernández, Juan B. Seoane-Sepúlveda. 2015-07-06. Estimates on the norm of polynomials and applications. https://arxiv.org/abs/1507.01431

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