2 papers
math.FA2026
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…
math.FA2026
Weighted Cesàro type operators on the weighted Bergman spaces in the unit ball
Jiaxin Pan, Cezhong Tong, Zicong Yang
In this paper, we study weighted Cesàro type operators \[ \mathcal C_{μ,β}^ξ:A_α^{p}(\mathbb B_n) \longrightarrow A_α^{q}(\mathbb B_n) \] induced by measures on , and obtain…