Cesàro-type operators on average radial integrability spaces induced by doubling weights

Jiaxin Pan, Cezhong Tong, Zixing Yuan

In this paper, we study the Cesàro-type operator $$ \Ces_{μ,β}f(z)=\int_{[0,1)}\frac{f(tz)}{(1-tz)^β}\,dμ(t), $$ where \(μ\) is a positive Borel measure on \([0,1)\) and \(β>0\). F…