The optimal constants for the real Hardy--Littlewood inequality for bilinear forms on $c_0\times {\ell }_p$

Daniel Nunez-Alarcon, Daniel Pellegrino

For $p,q\ge 2$, the Hardy and Littlewood inequalities for real bilinear forms, in its unified formulation, assert that there is a constant $C_{p,q}\ge 1$ such that \begin{equation}…