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math.FA2026
The Geometry of Real Anisotropic Bohnenblust--Hille Constants
Daniel Nunez-Alarcon, Daniel M. Pellegrino, Joedson Silva dos Santos +2
We determine the growth scale of the optimal constants in the real anisotropic Bohnenblust--Hille inequality. For an exponent vector , write $C_{\mathbf q^{(m)}}^{…
math.FA2020
The Orlicz inequality for multilinear forms
D. Núñez-Alarcón, D. Pellegrino, D. Serrano-Rodríguez
The Orlicz -mixed inequality states that $$ \left( \sum_{j_{1}=1}^{n}\left( \sum_{j_{2}=1}^{n}\left\vert A(e_{j_{1} },e_{j_{2}})\right\vert \right…
math.FA2020
On unimodular multilinear forms with small norms on sequence spaces
Daniel Pellegrino, Diana Serrano-Rodríguez, Janiely Silva
The Kahane--Salem--Zygmund inequality is a probabilistic result that guarantees the existence of special matrices with entries and generating unimodular -linear forms $…