ON Sums of Products of Polynomials

摘要

Given a polynomialP(t1,#x2026;,tn) = #x3C3;aataa1#x2026;tnanin several variables, we consider thep-norms Pp= (#x3C3; aap)1/p(1#x2265;p #x221E;) and p#x221E;= max aa. Our goal is to establish a generalization to thep-norms (1 #x2265;p#x2265; #x221E;) of a theorem originally obtained by P. Enflo for the l-norm.