Ji Li

activity

20122023

most citedA Complete Real-Variable Theory of Hardy Spaces on Spaces of Homogeneous Type

45 citations · 176 across the 79 of their papers we have counts for

collaborators

82 papers

math.CA2023

The Riesz Transform and Fractional Integral Operators in the Bessel Setting

Jorge J. Betancor, Xuan Thinh Duong, Ming-Yi Lee +2

Fix $λ > 0$ . Consider the Bessel operator $△_{λ} := - \frac{d ^{2}}{d x ^{2}} - \frac{2 λ}{x} \frac{d}{d x}$ on $R_{+}$ , where $R_{+} := (0, \infty)$ and $d m_{λ} := x^{2 λ} d x$ with $d x$ …

math.FA2023

Schatten Class Estimates for Paraproducts in Multi-parameter setting and applications

Michael T. Lacey, Ji Li, Brett D. Wick

Let $Π_{b}$ be a bounded $n$ parameter paraproduct with symbol $b$ . We demonstrate that this operator is in the Schatten class $S^{p}$ , $0 < p < \infty$ , if the symbol is in the $n$ par…

math.CA2023

Sharp estimates for imaginary powers of Bessel operators

The Anh Bui, Xuejing Huo, Ji Li

Let $L f (x) := - \frac{d ^{2}}{d x ^{2}} f (x) - \frac{r}{x} \frac{d}{d x} f (x), x > 0, r > 0$ be the Bessel operator on $((0, \infty), ∣ \cdot ∣, x^{r} d x)$ . In this paper, we prove the sharp weak typ…

math.FA2022

Besov Spaces, Schatten Classes and Weighted Versions of the Quantised Derivative

Zhenbing Gong, Ji Li, Brett D. Wick

In this paper, we establish the Schatten class and endpoint weak Schatten class estimates for the commutator of Riesz transforms on weighted $L^{2}$ spaces. It provides a weighted ve…

math.CV2022

The Kohn-Laplacian and Cauchy-Szegö projection on Model Domains

Der-Chen Chang, Ji Li, Jingzhi Tie +1

We study the Kohn-Laplacian and its fundamental solution on some model domains in $C^{n + 1}$ , and further discuss the explicit kernel of the Cauchy-Szegö projections on thes…

math.CV2022

Evaluation functions and composition operators on Banach spaces of holomorphic functions

Guangfu Cao, Li He, Ji Li

Let $B (Ω)$ be the Banach space of holomorphic functions on a bounded connected domain $Ω$ in $C^{n}$ , which contains the ring of polynomials on $Ω$ . In this paper, we first e…