70 citations · 202 across the 38 of their papers we have counts for
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Symmetric Kahane--Salem--Zygmund Inequalities and the Supremum Norm
Daniel M. Pellegrino, Anselmo B. Raposo, Eduardo V. Teixeira
The Kahane--Salem--Zygmund inequality provides unimodular -linear forms with small supremum norm. We consider its dimension-free symmetric constant over the…
Typical Bohnenblust--Hille Ratios
Daniel M. Pellegrino, Eduardo V. Teixeira
The polynomial Bohnenblust--Hille inequality controls the coefficient -norm of an -homogeneous polynomial by its supremum norm, with a constant independent of t…
Hadamard Rigidity and Sharp Stability in the Completely Bounded Bohnenblust--Hille Inequality
Daniel Núñez-Alarcón, Daniel M. Pellegrino, Eduardo V. Teixeira
The completely bounded Bohnenblust--Hille inequality of Arunachalam, Dutt, Escudero Gutiérrez and Palazuelos controls coefficient summability with optimal constant one, independent…
Hardy--Littlewood Constants Beyond Polarization
Daniel Pellegrino, Eduardo Teixeira
The polynomial Hardy--Littlewood inequalities bound coefficient norms of homogeneous polynomials on balls by their supremum norms, with constants independent of the dimens…
Sharp Summability on Supports of Prescribed Combinatorial Dimension
Anderson Barbosa, Daniel Pellegrino, Anselmo Raposo +1
We solve four questions raised by Bayart concerning coefficient summability for multilinear forms with prescribed supports. For every and , we determine the pro…
Bombieri--Weyl Contractivity and Rigidity for Homogeneous Polynomials
Daniel Nunez-Alarcon, Daniel M. Pellegrino, Anselmo Raposo +1
We determine the dimension-free threshold for the comparison between the Bombieri--Weyl norm and the supremum norm of complex homogeneous polynomials on . For -homogen…