Pengcheng Tang

activity

20222026

most citedGeneralized integral type Hilbert operator acting on weighted Bloch space

6 citations · 10 across the 8 of their papers we have counts for

collaborators

10 papers

math.FA2026

Complete mapping criteria for generalized Cesàro operators between Hardy spaces

Pengcheng Tang, Huayou Xie

Let $μ$ be a finite positive Borel measure on $[0, 1)$ and let $γ > 0$ . We establish sharp mapping criteria for the generalized Cesàro operator \begin{equation*} \mathcal C_{μ,γ}f(z)…

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 {…

math.FA2022★ 4 cited

Several Integral Estimates and Some Applications

Xuejun Zhang, Hongxin Chen, Min Zhou +2

In this paper, the authors first consider the bidirectional estimates of several typical integrals. As some applications of these integral estimates, the authors investigate the po…

math.FA2022★ 6 cited

Generalized integral type Hilbert operator acting on weighted Bloch space

Pengcheng Tang, Xuejun Zhang

Let $μ$ be a finite Borel measure on $[0, 1)$ . In this paper, we consider the generalized integral type Hilbert operator $$\mathcal{I}_{μ_{α+1}}(f)(z)=\int_{0}^{1}\frac{f(t)}{(1-tz)…

math.FA2022

Cesàro-like operator acting between Bloch type spaces

Pengcheng Tang, Xuejun Zhang

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 Ceàsro-like operator is defined by $$ \mathcal{C}…

math.FA2022

Generalized Hilbert operator acting on Bergman spaces

Pengcheng Tang, Xuejun Zhang

Let $μ$ be a positive Borel measure on $[0, 1)$ . If $f \in H (D)$ and $α > - 1$ , the generalized integral type Hilbert operator defined as follows: $$\mathcal{I}_{μ_{α+1}}(f)(z…