Artículos de revistas
Lower bounds for norms of products of polynomials on Lp spaces
Carando, Daniel Germán; Pinasco, Damian; Rodríguez, Jorge Tomás; Lower bounds for norms of products of polynomials on Lp spaces ; Polish Acad Sciences Inst Mathematics; Studia Mathematica; 214; 2013; 1-2013; 157-166
Carando, Daniel Germán
Rodríguez, Jorge Tomás
For 1 < p < 2 we obtain sharp lower bounds for the uniform norm of products of homogeneous polynomials on Lp(µ), whenever the number of factors is no greater than the dimension of these Banach spaces (a condition readily satisfied in infinitedimensional settings). The result also holds for the Schatten classes Sp. For p > 2 we present some estimates on the constants involved.