Papers
29. Geometry of the space of quadratic forms on triangles and applications (with A. García-Santiuste and G. Muñoz-Fernández), Bull Braz Math Soc, New Series 56 (2025), paper 47.
28. A summability principle and applications (with N. Albuquerque, L. Rezende and J. Santos), Adv. Oper. Theory 10 (2025), paper 69.
27. Complements of unions: insights on spaceability and applications (with A. Barbosa, A. Raposo Jr. and G. Ribeiro), Mathematika 71 (2025), e70006.
26. On the set of functions that vanish at infinity and have a unique maximum (with A. Barbosa), Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 118 (2024), paper 76.
25. Modes of convergence of random variables and algebraic genericity (with M. Fenoy, J. Fernández-Sánchez, J. Seoane-Sepúlveda and J. Vecina), Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 118 (2024), paper 63.
24. A general lineability criterion for complements of vector spaces (with A. Barbosa), Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 118 (2024), paper 5.
23. On the spaceability of the set of functions in the Lebesgue space $L_p$ which are not in $L_q$ (with A. Barbosa, A. Raposo Jr. and G. Ribeiro), Bull. Braz. Math. Soc., New Series 54 (2023), paper 44.
22. Dualidade: construção do tetraedro triakis a partir do tetraedro truncado via mediatrizes (with M. Aires da Silva and A. Cabral), PMO 11 (2023), no. 3, 462-478.
21. Continuous nowhere Hölder functions on $\mathbb {Z}_p$ (with L. Bernal-González, J. Fernández-Sánchez and J. B. Seoane-Sepúlveda), Proc. Amer. Math. Soc. 151 (2023), 1031-1040.
20. A Intuição Matemática e o estudo da Lineabilidade (with E. Marinho), PMO 10 (2022), no. 4, 558-572.
19. Quantitative and qualitative estimates on the norm of products of polynomials (with P. Enflo, G. Muñoz-Fernández, D. Rodriguez-Vidanes and J. Seoane-Sepúlveda), Israel J. Math. 236 (2020), no. 2, 727-745.
18. Sharp Bernstein inequalities using convex analysis techniques (with G. Muñoz-Fernández, D. Rodriguez-Vidanes and J. Seoane-Sepúlveda), Math. Inequal. Appl. 23 (2020), no. 2, 725-750.
17. On the Maurey-Pisier and Dvoretzky-Rogers Theorems (with J. Santos), Bull. Braz. Math. Soc., New Series 51 (2020), 1-9.
16. A note on multiple summing operators and applications (with N. Albuquerque, D. Pellegrino and P. Rueda), Linear Multilinear Algebra 67 (2019), no. 4, 660-671.
15. A Gale-Berlekamp permutation-switching problem in higher dimensions (with D. Pellegrino), European J. Combin. 77 (2019), 17-30.
14. On summability of multilinear operators and applications (with N. Albuquerque, W. Cavalcante, T. Nogueira, D. Núñez, D. Pellegrino and P. Rueda), Ann. Funct. Anal. 9 (2018), no. 4, 574-590.
13. Optimal Hardy-Littlewood inequalities uniformly bounded by a universal constant (with N. Albuquerque, M. Maia, T. Nogueira, D. Pellegrino and J. Santos), Ann. Math. Blaise Pascal 25 (2018), no. 1, 1-20.
12. Universal bounds for the Hardy-Littlewood inequalities on multilinear forms (with K. Câmara), Results Math. 73 (2018), no. 3, Art. 124, 10 pp.
11. Hölder's inequality: some recent and unexpected applications (with N. Albuquerque, D. Pellegrino and J. Seoane-Sepúlveda), Bull. Belg. Math. Soc. Simon Stevin 24 (2017), no. 2, 199-225.
10. Polynomial inequalities on the π/4-circle sector (with P. Jiménez-Rodríguez, G. Muñoz-Fernández and J. Seoane-Sepúlveda), J. Convex Anal. 24 (2017), no. 3, 927-953.
9. On the constants of the Bohnenblust-Hille and Hardy-Littlewood inequalities (with D. Pellegrino), Bull Braz Math Soc, New Series 48 (2017), 141-169.
8. Lineability in sequence and function spaces (with L. Bernal-González, G. Muñoz-Fernández, J. Prado-Bassas and J. Seoane-Sepúlveda), Studia Math. 237 (2017), no. 2, 119-136.
7. Optimal estimates for summing multilinear operators (with D. Pellegrino), Linear Multilinear Algebra 65 (2017), no. 5, 930-942.
6. Equivalent norms in polynomial spaces and applications (with P. Jiménez-Rodríguez, G. Muñoz-Fernández and J. Seoane-Sepúlveda), J. Math. Anal. Appl. 445 (2017), no. 2, 1200-1220.
5. Optimal Hardy-Littlewood type inequalities for m-linear forms on ℓ_p spaces with 1 ≤ p ≤ m (with D. Pellegrino), Arch. Math. (Basel) 105 (2015), no. 3, 285-295.
4. Lower bounds for the complex polynomial Hardy-Littlewood inequality (with D. Pellegrino), Linear Algebra Appl. 474 (2015), 184-191.
3. On the polynomial Hardy-Littlewood inequality (with P. Jiménez-Rodriguez, G. Muñoz-Fernández, D. Núñez-Alarcón, D. Pellegrino, J. Seoane-Sepúlveda and D. Serrano-Rodríguez), Arch. Math. (Basel) 104 (2015), no. 3, 259-270.
2. Lower bounds for the constants of the Hardy-Littlewood inequalities (with D. Pellegrino), Linear Algebra Appl. 463 (2014), 10-15.
1. On the upper bounds for the constants of the Hardy-Littlewood inequality (with D. Pellegrino and D. Silva e Silva), J. Funct. Anal. 267 (2014), no. 6, 1878-1888.
Books
1. Real analysis: an undergraduate problem book for mathematicians, applied scientists, and engineers (with L. Bernal-González, J. Gámez-Merino, M. Gómez, G. Muñoz-Fernández, D. Rodriguez-Vidanes and J. Seoane-Sepúlveda), Chapman & Hall/CRC Press (Taylor & Francis Group), 536 p., 2024. ISBN 9781032510262.
Undergraduate, master’s, and doctoral theses
Some classical inequalities, summability of multilinear operators and strange functions, Ph.D. thesis, UFPB, João Pessoa, 2016.
Sobre soluções de equações elípticas envolvendo o N-laplaciano e crescimento crítico exponencial, Master’s thesis, UFPB, João Pessoa, 2013.
O teorema da função implícita em espaços de Banach e aplicações, Bachelor’s thesis, UFPB, João Pessoa, 2011.