Meng-Meng Zhou

collaborators

3 papers

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

Norm of the generalized Hilbert operator on Hardy spaces

Songxiao Li, Weiye Pan, Mengmeng Zhou

We study the generalized Hilbert operator \[ \mathcal{H}_b f(z)=\int_0^1 f(t)\,\frac{(1-t)^b}{(1-tz)^{b+1}}\,dt, \qquad b>0, \] acting on the Hardy spaces $H^{p}$ for $1\leq p\leq \i…

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…