H. Wulan

activity

20062026

most citedLipschitz type characterizations for Bergman Spaces

1 citations · 1 across the 10 of their papers we have counts for

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math.CV2026

Norm of the generalized Hilbert operator on weighted Bergman spaces

Dongxing Li, Songxiao Li, Weiye Pan +2

Several upper bounds as well as one lower bound for the operator norm of the generalized Hilbert operator $H_{b}$ acting on weighted Bergman spaces $A_{α}^{p}$ are established.…

math.CV2026

Hilbert matrix norms on weighted Bergman spaces: even exponents and a counterexample to the beta formula

Hasi Wulan, Mengmeng Zhou, Jian-Feng Zhu

Let $A_{α}^{p}$ be the weighted Bergman space on the unit disk, where $α > - 1$ . For $f (z) = \sum_{k = 0}^{\infty} a_{k} z^{k} \in A_{α}^{p}$ , consider the Hilbert matrix operator $\mathcal{H}f(z)=\sum…

math.CV2026

The norm of the Hilbert matrix operator on Bergman spaces

Guanlong Bao, Liu Tian, Hasi Wulan

Karapetrović conjectured that the norm of the Hilbert matrix operator on the Bergman space $A_{α}^{p}$ is equal to $π / sin ((2 + α) π / p)$ when $- 1 < α < p - 2$ . In this paper, we provide a proof…