19 citations · 70 across the 31 of their papers we have counts for
38 papers
-spaceability of continuous functions with prescribed Hausdorff graph dimension
Anselmo Raposo Junior, Daniel Pellegrino
Let and let consist of the real-valued continuous functions on whose graphs have Hausdorff dimension . We prove that every finite-dimensional subs…
Criticality Concentrates Extensive Sensing Information into a Local Readout
Peng Wang, Yu-Xuan Zhang, Hai-Tao Ding +1
We show that criticality concentrates extensive sensing information into a local trajectory. In the rapid-readout limit of an all-to-all dissipative feedback network, a single bina…
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…
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)}}^{…
Quantum simulation of circular cluster interactions in a linear spin chain
Alexander van Lomwel, Hongzheng Zhao, Florian Mintert
The preparation of ground states of Hamiltonians with symmetries that are fundamentally different than those of the underlying device is a central challenge for quantum technologie…
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…
Sharp anisotropic Hardy--Littlewood inequality for positive multilinear forms
Daniel Núñez Alarcón, Daniel Marinho Pellegrino, Diana Marcela Serrano Rodríguez
Using elementary techniques, we prove sharp anisotropic Hardy-Littlewood inequalities for positive multilinear forms. In particular, we recover an inequality proved by F. Bayart in…
Lineability and spaceability: a new approach
Vinícius Fávaro, Daniel Pellegrino, Daniel Tomaz
The area of research called \textquotedblleft Lineability\textquotedblright% \ looks for linear structures inside exotic subsets of vector spaces. In the last decade lineability/sp…
When are the Hardy-Littlewood inequalities contractive?
W. V. Cavalcante, T. Nogueira, D. M. Pellegrino +2
The optimal constants of the -linear Bohnenblust-Hille and Hardy-Littlewood inequalities are still not known despite its importance in several fields of Mathematics. For the Boh…
Optimal Hardy--Littlewood inequalities uniformly bounded by a universal constant
N. Albuquerque, G. Araújo, M. Maia +3
The Hardy--Littlewood inequality for -linear forms on spaces and asserts that \begin{equation*} \left( \sum_{j_{1},...,j_{m}=1}^{\infty }\left\vert T\le…
Optimal exponents for Hardy--Littlewood inequalities for -linear operators
R. M. Aron, D. Núñez-Alarcón, D. Pellegrino +1
The Hardy--Littlewood inequalities on spaces provide optimal exponents for some classes of inequalities for bilinear forms on spaces. In this paper we inves…
Some applications of the Hölder inequality for mixed sums
Nacib Albuquerque, Tony Nogueira, Daniel Nunez-Alarcon +2
We use the Hölder inequality for mixed exponents to prove some optimal variants of the generalized Hardy--Littlewood inequality for -linear forms on spaces with mixe…
Remarks on the Hardy--Littlewood inequality for -homogeneous polynomials and -linear forms
W. Cavalcante, D. Nunez-Alarcon, D. Pellegrino
The Hardy--Littlewood inequality for -homogeneous polynomials on spaces is valid for In this note, among other results, we present an optimal version of this i…
The optimal Hardy--Littlewood constants for -homogeneous polynomials on for are
W. Cavalcante, D. Nunez-Alarcon, D. Pellegrino
We show that the optimal constants for the Hardy--Littlewood inequalities for -homogeneous polynomials on are precisely for all
A note on multiple summing operators and applications
N. Albuquerque, G Araujo, D. Pellegrino +1
We prove a new result on multiple summing operators and among other applications, we provide a new extension of Littlewood's inequality to -linear forms.
Duality results in Banach and quasi-Banach spaces of homogeneous polynomials and applications
V. V. Favaro, D. Pellegrino
Spaces of homogeneous polynomials on a Banach space are frequently equipped with quasinorms instead of norms. In this paper we develop a technique to replace the original quasi-nor…
Improving integrability via absolute summability: a general version of Diestel's Theorem
Daniel Pellegrino, Pilar Rueda, Enrique Sánchez-Pérez
A classical result by J. Diestel establishes that the composition of a summing operator with a (strongly measurable) Pettis integrable function gives a Bochner integrable function.…
Hölder's inequality: some recent and unexpected applications
N. Albuquerque, G. Araujo, D. Pellegrino +1
Hölder's inequality, since its appearance in 1888, has played a fundamental role in Mathematical Analysis and it is, without any doubt, one of the milestones in Mathematics. It may…
On summability of multilinear operators and applications
N. Albuquerque, G. Araujo, W. V. Cavalcante +4
This paper has two clear motivations: a technical and a practical. The technical motivation unifies in a single and crystal clear formulation a huge family of inequalities that hav…