Fractional series operators on discrete Hardy spaces

Pablo Rocha

We estudy the $H^p(\mathbb{Z})$ - ${\ell }^q(\mathbb{Z})$ boundedness of the fractional series operator $T_{\gamma }$ given by \[ (T_γb)(j) = \sum_{i \neq \pm j} \frac{b(i)}{|i-j|^α|i+j|^…