Contractive Hardy--Littlewood inequalities in the Dirichlet range

Ole Fredrik Brevig, Aleksei Kulikov, Kristian Seip +1

The class $A_{\alpha }^p$ consists of those analytic functions $f$ in the unit disc such that \[\|f\|_{α,p}^p := |f(0)|^p+\int_0^1 \left(\frac{d}{dr} M_p^p(r,f)\right) (1-r^2)^{α-1} \,dr <…