9 papers · 1 filter
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…
Polynomial Growth of Complex Polynomial Hardy--Littlewood Constants
Daniel Pellegrino, Eduardo Teixeira
We prove polynomial growth bounds for the optimal constants in the complex polynomial Hardy--Littlewood inequality whenever , for every fixed . This extend…
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…
The phase diagram of injective-to-projective tensor distortion
Daniel Nunez-Alarcon, Daniel Pellegrino, Joedson Santos
For finite-dimensional Banach spaces and , set \[ ρ(E,F):=\sup_{0\neq z\in E\otimes F}\frac{π(z)}{\varepsilon(z)}. \] The square growth of was determi…
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)}}^{…
On the size of the set of unbounded multilinear operators between Banach spaces
V. V. Favaro, D. Pellegrino, P. Rueda
Among other results we investigate -lineability of the set of non-continuous -linear operators defined between normed spaces as a subset of the space of all…