Kunyu Guo

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20232025

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math.FA2025

The one-weight inequality for $H$ -harmonic Bergman projection

Kunyu Guo, Zipeng Wang, Kenan Zhang

Let $n ⩾ 3$ be an integer. For the Bekollé-Bonami weight $ω$ on the real unit ball $B_{n}$ , we obtain the following sharp one-weight estimate for the $H$ -ha…

math.FA2023

The first Szegő limit theorem on multi-dimensional torus

Kunyu Guo, Dilong Li, Qi Zhou

In this paper, we consider the first Szegő limit theorems on $d$ -torus $T^{d}$ for $1 \leq d \leq + \infty$ . It is shown that for any Følner sequence ${σ_{N}}$ of $\mathbb{Z}^d…

The one-weight inequality for H-harmonic Bergman projection

The first Szegő limit theorem on multi-dimensional torus

The one-weight inequality for $H$ -harmonic Bergman projection