G. Bao

activity

20152026

collaborators

11 papers

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…

math.CV2023

Duality for $α$ -Möbius invariant Besov spaces

Guanlong Bao, Zengjian Lou, Xiaojing Zhou

For $1 \leq p \leq \infty$ and $α > 0$ , Besov spaces $B_{α}^{p}$ play a key role in the theory of $α$ -Möbius invariant function spaces. In some sense, $B_{α}^{1}$ is the minimal $α$ -Möbius inv…

math.CV2022

A Carleson type measure and a family of Möbius invariant function spaces

Guanlong Bao, Fangqin Ye

For $0 < s < 1$ , let ${z_{n}}$ be a sequence in the open unit disk such that $\sum_{n} (1 - ∣ z_{n} ∣^{2})^{s} δ_{z_{n}}$ is an $s$ -Carleson measure. In this paper, we consider the connections betwe…

math.CV2022

Carleson measures and the range of a Cesàro-like operator acting on $H^{\infty}$

Guanlong Bao, Fangmei Sun, Hasi Wulan

In this paper, by describing characterizations of Carleson type measures on $[0, 1)$ , we determine the range of a Cesàro-like operator acting on $H^{\infty}$ . A special case of our re…

math.CV2022

Double integral estimates for Besov type spaces and their applications

Guanlong Bao, Juntao Du, Hasi Wulan

For $0 < p < \infty$ , we give a complete description of nonnegative radial weight functions $ω$ on the open unit disk $D$ such that $$ \int_{\mathbb{D}} |f'(z)|^p (1-|z|^2)^{p…

math.CV2018

An inequality associated with $Q_{p}$ functions

Guanlong Bao, Fangqin Ye

The Möbius invariant space $Q_{p}$ , $0 < p < \infty$ , consists of functions $f$ which are analytic in the open unit disk $D$ with $$ \|f\|_{\mathcal{Q}_p}=|f(0)|+\sup_…

math.CV2018

A problem for Hankel measures on Hardy space

Guanlong Bao, Fangqin Ye

In this note, we investigate a condition related to the characterization of Hankel measures on Hardy space. We address a problem mentioned by J. Xiao in 2000.

math.CV2017

The Bloch space and the dual space of a Luecking-type subspace of $A^{1}$

Guanlong Bao, Fangqin Ye

Let $X$ be the dual space of a Luecking-type subspace of the Bergman space $A^{1}$ . It is known that the Bloch space $B$ is a subset of $X$ . In 1990, Ghatage and Sun asked…

math.CV2016

On absolute values of QK functions

Guanlong Bao, Zengjian Lou, Ruishen Qian +1

In this paper, the effect of absolute values on the behavior of functions $f$ in the spaces $Q_{K}$ is investigated. It is clear that $f\in \mathcal{Q}_K(\partial {\mathbb{…

math.CV2015

Boundary multipliers of a family of Möbius invariant function spaces

Guanlong Bao, Jordi Pau

For $1 < p < \infty$ and $0 < s < 1$ , let $Q_{s}^{p} (T)$ be the space of those functions $f$ which belong to $L^{p} (T)$ and satisfy \[ \sup_{I\subset \mathbb{T}}\f…

math.CV2015

The pseudoanalytic extensions for some spaces of analytic functions

Guanlong Bao, Hasi Wulan, Fangqin Ye

Using the Cauchy-Riemann operator, we characterize $Q_{K}$ spaces, Besov spaces and analytic Morrey spaces in terms of pseudoanalytic extensions of primitive functions. Our results a…

The norm of the Hilbert matrix operator on Bergman spaces

Duality for α-Möbius invariant Besov spaces

A Carleson type measure and a family of Möbius invariant function spaces

Carleson measures and the range of a Cesàro-like operator acting on H∞

Double integral estimates for Besov type spaces and their applications

An inequality associated with Qp​ functions

A problem for Hankel measures on Hardy space

The Bloch space and the dual space of a Luecking-type subspace of A1

On absolute values of QK functions

Boundary multipliers of a family of Möbius invariant function spaces

The pseudoanalytic extensions for some spaces of analytic functions

Duality for $α$ -Möbius invariant Besov spaces

Carleson measures and the range of a Cesàro-like operator acting on $H^{\infty}$

An inequality associated with $Q_{p}$ functions

The Bloch space and the dual space of a Luecking-type subspace of $A^{1}$