Qiteng Guo

collaborators

2 papers

math.CV2026

An Infinitesimal Circular Morera Theorem

Qiteng Guo, Ao Xiao

We prove an infinitesimal circular version of Morera's theorem. Let $D \subset C$ be a domain and let $f \in C (D)$ . If, at every $a \in D$ , $\int_{\vert{}ζ-a\vert{}=r}f(ζ)\,dζ…

math.FA2026

Variable-Radius Disk Transforms and an Area-Integral Problem of Zalcman

Qiteng Guo, Yixin He

For $0 < α \leq 1$ , define $(T_{α} f) (z) := \int_{B (z, α (1 - ∣ z ∣))} f (ζ) d A (ζ)$ for $z \in D$ , where $d A$ is planar Lebesgue measure. We prove that $T_{α}$ is injective…