On the mixed $\left({\ell }_1,{\ell }_2\right)$-Littlewood inequality for real scalars and applications

Abstract

In this paper we obtain the sharp estimates for the mixed $\left({\ell }_1,{\ell }_2\right)$-Littlewood inequality for real scalars with exponents $\left(2,1,2,\mathrm{2....},2\right).$ These results are applied to find sharp estimates for the constants of a family of $3$-linear Bohnenblust--Hille inequalities with multiple exponents.

References in corpus (2)

• On the constants of the Bohnenblust-Hille inequality and Hardy--Littlewood inequalities
• Hölder's inequality: some recent and unexpected applications

Cited by in corpus (1)

• On the mixed $({\ell }_1,{\ell }_2)$-Littlewood inequalities and interpolation