On real part theorem for the higher derivatives of analytic functions in the unit disk

David Kalaj, Noam D. Elkies

Let $n$ be a positive integer. Let $\mathbf{U}$ be the unit disk, $p\ge 1$ and let $h^p(\mathbf{U})$ be the Hardy space of harmonic functions. Kresin and Maz'ya in a recent paper fou…