A generalized Hilbert matrix acting on Hardy spaces

Christos Chatzifountas, Daniel Girela, Jose Angel Pelaez

If $\mu$ is a positive Borel measure on the interval $[0,1)$, the Hankel matrix ${\mathcal{H}}_{\mu }=({\mu }_{n,k}{)}_{n,k\ge 0}$ with entries ${\mu }_{n,k}={\int }_{[0,1)}{t}^{n+k}d\mu (t)$ induces formall…