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arxiv: 1507.01431 · v1 · pith:FIXOIWMAnew · submitted 2015-07-06 · 🧮 math.FA

Estimates on the norm of polynomials and applications

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keywords polynomialsconstantsestimatesapplicationapplicationscalculateddegreesequivalence
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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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