• openAccess   Sharp values for the constants in the polynomial Bohnenblust-Hille inequality 

      Jiménez-Rodríguez, P.; Muñoz-Fernández, G. A.; murillo arcila, marina; Seoane Sepúlveda, Juan Taylor & Francis (2016)
      In this paper we prove that the complex polynomial Bohnenblust–Hille constant for 2-homogeneous polynomials in ℂ2 is exactly 4√3/2. We also give the exact value of the real polynomial Bohnenblust–Hille constant for ...
    • openAccess   Smooth functions with uncountably many zeros 

      Conejero, J. Alberto; Muñoz-Fernández, G. A.; murillo arcila, marina; Seoane Sepúlveda, Juan Sociéte Mathématique de Belgique (2015)
      In this short note we show that there exist uncountably generated algebras every non-zero element of which is a smooth function having uncountably many zeros. This result complements some recent ones by En o et al.