Author

Eduardo V. Teixeira

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Preprint Sep 2026

Symmetric Kahane--Salem--Zygmund Inequalities and the Supremum Norm

The Kahane--Salem--Zygmund inequality provides unimodular $m$-linear forms with small supremum norm. We consider its dimension-free symmetric constant $C_m^{\mathrm{sym}}$ over the real scalar field, defined by the requirement that, for every $n$, some real symmetric unimodular $m$-linear form $A:(\ell_\infty^n)^m\to\m...

D. Pellegrino, A. Raposo, Eduardo V. Teixeira · 0 citations

Preprint Aug 2026

POLYNOMIAL GROWTH OF COMPLEX POLYNOMIAL BOHNENBLUST–HILLE CONSTANTS

For an $m$-homogeneous polynomial on $\mathbb C^n$, let $D_{m,n}$ denote the optimal constant in the complex polynomial Bohnenblust--Hille inequality, and set $D_m:=\sup_{n\ge1}D_{m,n}$. We prove that the dimension-free constants $(D_m)$ have at most polynomial growth: there are absolute constants $B_0,K<\infty$ such t...

D. Pellegrino, Eduardo V. Teixeira · 3 citations · ⚡3