Truncated Dirichlet estimates for Bloch functions

Iason Efraimidis, Adrián Llinares, Alejandro Mas

We study the truncated Dirichlet functional \[ Φ_n (f) = \sum_{k = 1}^n k |a_k|^2, \quad f(z) = \sum_{k = 0}^\infty a_k z^k, \] when $f$ belongs to the Bloch space. If $n\ge 27$,…