Yuting Guo

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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.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…