Research interest

Functional analysis, Banach space theory, Lineability and Linear Dynamics.

Published and Accepted papers

• Asymptotic estimates for unimodular multilinear forms with small norms on sequence spaces (with L. Rezende), to appear in Bulletin of the Brazilian Mathematical Society;
• On summability of multilinear operators ans applications (with G. Araújo, W. Cavalcante, T. Nogueira, D. Núñez-Alárcon, D. Pellegrino and P. Rueda), to appear in Annals of Functional Analysis;
• A note on multiple summing operators and applications (with G. Araújo, D. Pellegrino and P. Rueda), to appear in Linear and Multilinear Algebra;
• Anisotropic regularity principle in sequence spaces and applications (with L. Rezende), to appear in Communications in Contemporary Mathematics;
• Optimal Hardy-Littlewood inequalities uniformly bounded by a universal constant (with G. Araújo, M. Maia, T. Nogueira, D. Pellegrino and J. Santos), Annales mathématiques Blaise Pascal, 25 no. 1 (2018), p. 1-20;
• Some applications of the Hölder inequality for mixed sums (with T. Nogueira, D. Núñez, D. Pellegrino and P. Rueda), Positivity, (2017) 21:1575-1592;
• Hölder's inequality: some recent and unexpected applications (with G. Araújo, D. Pellegrino and J. Seoane), Bull. Belg. Math. Soc. Simon Stevin, 24 (2017), no. 2, 199–225;
• Optimal Hardy-Littlewood type inequalities for polynomials and multilinear operators (with F. Bayart, D. Pellegrino and J. Seoane), Israel J. Math. 211 (2016), no. 1, 197–220;
• Absolutely summing multilinear operators via interpolation (with D. Núñez, J. Santos and D. Serrano), J. Funct. Anal. 269 (2015), no. 6, 1636–1651;
• A subexponential vector-valued Bohnenblust-Hille type inequality (with D. Núñez and D. Serrano). J. Math. Anal. Appl. 432 (2015), no. 1, 314–323;
• Peano curves on topological vector spaces (with L. Bernal, D. Pellegrino and J. Seoane), Linear Algebra Appl. 460 (2014), 81–96;
• Sharp generalizations of the multilinear Bohnenblust-Hille inequality (with F. Bayart, D. Pellegrino and J. Seoane), J. Funct. Anal. 266 (2014), no. 6, 3726–3740;
• Maximal lineability of the set of continuous surjections, Bull. Belg. Math. Soc. Simon Stevin 21 (2014), no. 1, 83–87.