Jianren Long

collaborators

5 papers

math.FA2026

Small exponent Schatten class Toeplitz operators on convex domains of finite type

Mingjin Li, Jianren Long, Lang Wang

In this paper, we study the characterizations of Schatten $p$-class Toeplitz operators on smoothly bounded convex domains of finite type in $\C^n$. On one hand, by using discre…

math.CV2025

A note for Carleson measure on bounded $C$ -convex domains

Mingjin Li, Jianren Long, Lang Wang

Let $0<q<p<\infty$, $Ω$ be a bounded $\bbC$-convex domains in $\bbC^n$. We establish several equivalent characterizations for the boundedness of Carleson embedding \(J_μ:A_…

math.CV2025

Summing Carleson measure on radial weighted Begman spaces

Mingjin Li, Jianren Long

For $μ$ is a positive Borel measure on $D$ , The $r$ summing Carleson embdedding $J_{μ} : A_{w}^{p} \to L^{q} (μ)$ are characterized in this paper, some conditions which ensure that t…

math.CV2025

Fractional order derivative characterizations of Besov-Morrey type spaces with applications

Chen Lu, Mingjin Li, Jianren Long

On the one hand, the fractional order derivative characterization of the Besov-Morrey type space $B_{p}^{K} (s)$ is established by $K$ -Carleson measures, and it was also shown that…

math.CV2025

Two weights inequality for Hankel operators on weighted Bergman spaces induced by radial weights

Mingjin Li, Jianren Long, Pengcheng Wu

The two weights inequality for Hankel operators $∥ H_{f}^{ω} (\cdot) ∥_{L_{η}^{q}} \leq C ∥ \cdot ∥_{A_{v}^{p}},$ induced by some radial weights under the regular assumptions is considered, th…

Small exponent Schatten class Toeplitz operators on convex domains of finite type

A note for Carleson measure on bounded C-convex domains

Summing Carleson measure on radial weighted Begman spaces

Fractional order derivative characterizations of Besov-Morrey type spaces with applications

Two weights inequality for Hankel operators on weighted Bergman spaces induced by radial weights

A note for Carleson measure on bounded $C$ -convex domains