Pengcheng Tang

works on

bounded operators 1 complex analysis 1 hardy spaces 1 hilbert operators 1 multiplier spaces 1

From the 1 of 5 linked papers with an AI index.

collaborators

5 papers

math.FA2026

Generalized Hilbert operators on Hardy spaces

Yuting Guo, Pengcheng Tang

The paper characterizes when a generalized Hilbert operator is bounded on Hardy spaces H^p by describing the associated multiplier space, provides exact criteria, disproves a recen…

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

Generalized Hilbert operator acting on Bergman spaces

Pengcheng Tang, Xuejun Zhang

Let $I^¼$ be a positive Borel measure on $[0, 1)$ . If $f \in H (D)$ and $I^\pm > - 1$ , the generalized integral type Hilbert operator defined as follows: $$\mathcal{I}_{Î¼_{Î±+1}}(…

math.FA2024

CesÃ ro-like operator acting between Bloch type spaces

Pengcheng Tang, Xuejun Zhang

Let $I^¼$ 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 CeÃ sro-like operator is defined by $$ \mathcal{…

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 $I^_{\frac{1}{p}}^{p}$ for all $1 < p < \infty$ . In this pape…