Daniel Nuñez-Alarcón
Published 2012-08-30Version 1
Recently, in paper published in the Annals of Mathematics, it was shown that the Bohnenblust-Hille inequality for (complex) homogeneous polynomials is hypercontractive. However, and to the best of our knowledge, there is no result providing (nontrivial) lower bounds for the optimal constants for n-homogeneous polynomials (n > 2). In this short note we provide lower bounds for these famous constants.
On Φ-Schauder frames
Optimal constants for the mixed $\left(\ell_{\frac{p}{p-1}}, \ell_2\right)$-Littlewood inequality
Upper and Lower Bounds for Kronecker Constants of Three-Element Sets of Integers
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