Zixing Yuan

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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

Area operators on Hardy spaces of Dirichlet series II: counterexamples and compactness criteria

Jiale Chen, Maofa Wang, Zixing Yuan

We study area operators $A_{μ, l}$ , $0 < l < \infty$ , induced by positive Borel measures on the right half-plane and acting on the Hardy spaces of Dirichlet series $\mathscr H^…

math.FA2026

Metrically bounded Volterra-type operators on area Nevanlinna spaces

Zixing Yuan

In this paper, we study metrically bounded Volterra-type operators $J_{g}$ and $I_{g}$ on the area Nevanlinna spaces $N_{α}^{p}$ , where $1 \leq p < \infty$ and $α > - 1$ . Choe, Koo and Smith \cit…