Pengcheng Tang

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math.FA2026

Generalized Hilbert operators on Hardy spaces

Yuting Guo, Pengcheng Tang

Let $g \in H (D)$ , the generalized Hilbert operator $H_{g}$ is defined by \[ \mathcal H_g(f)(z)=\int_0^1 f(t)g'(tz)dt,\ \ z\in \mathbb D\, \ \ f \in H(\mathbb D). \] L…

math.FA2026

Operators of Hilbert type acting on some spaces of analytic functions

Pengcheng Tang

Let $H (D)$ be the space of all analytic functions in the unit disc $D$ . For $g \in H (D)$ , the generalized Hilbert operator $H_{g}$ is defined by…

math.FA2024

Hilbert matrix operator on bound analytic functions

Yuting Guo, Pengcheng Tang

It is well known that the Hilbert matrix operator $H$ is bounded from $H^{\infty}$ to the mean Lipschitz spaces $Λ_{\frac{1}{p}}^{p}$ for all $1 < p < \infty$ . In this paper…

math.FA2023

Generalized Cesàro-like operator from a class of analytic function spaces to analytic Besov spaces

Pengcheng Tang

Let $μ$ be a finite positive Borel measure on $[0, 1)$ and $f (z) = \sum_{n = 0}^{\infty} a_{n} z^{n} \in H (D)$ . For $0 < α < \infty$ , the generalized Cesàro-like operator $\mathcal{C…

math.FA2023

The Ces`aro-like operator on some analytic function spaces

Pengcheng Tang

Let $μ$ be a finite positive Borel measure on the interval $[0, 1)$ and $f (z) = \sum_{n = 0}^{\infty} a_{n} z^{n} \in H (D)$ . The Cesàro-like operator is defined by $$ \mathcal {…