Zhenyou Wang

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math.CV2022

Generalize Hilbert operator acting on Dirichlet spaces

Liyun Zhao, Zhenyou Wang, Zhirong Su

Let $μ$ be a positive Borel measure on the interval $[0, 1)$ . For $γ > 0$ , the Hankel matrix $H_{μ, γ} = (μ_{n, k})_{n, k \geq 0}$ with entries $μ_{n, k} = μ_{n + k}$ , where $μ_{n+k}=\i…

math.CV2022

The range of Hilbert operator and Derivative-Hilbert operator acting on $H^{1}$

Liyun Zhao, Zhenyou Wang, Zhirong Su

Let $μ$ be a positive Borel measure on the interval $[0, 1)$ . The Hankel matrix $H_{μ} = (μ_{n, k})_{n, k \geq 0}$ with entries $μ_{n, k} = μ_{n + k}$ , where $μ_n=\int_{[0,1)}t^{n}dμ(t…

Generalize Hilbert operator acting on Dirichlet spaces

The range of Hilbert operator and Derivative-Hilbert operator acting on H1

The range of Hilbert operator and Derivative-Hilbert operator acting on $H^{1}$