Ji Li

activity

20122024

most citedOne-parameter and multiparameter function classes are intersections of finitely many dyadic classes

1 citations · 1 across the 13 of their papers we have counts for

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6 papers · 1 filter

math.CA2024

Fractional Bloom boundedness of commutators in spaces of homogeneous type

Zhenbing Gong, Ji Li, Jaakko Sinko

We aim to characterise boundedness of commutators $[b, T]$ of singular integrals $T$ . Boundedness is studied between weighted Lebesgue spaces $L^{p} (X)$ and $L^{q} (X)$ , $p \leq q$ , when…

math.CA2024

Schatten Properties of Calderón--Zygmund Singular Integral Commutator on stratified Lie groups

Ji Li, Xiao Xiong, Fulin Yang

We provide full characterisation of the Schatten properties of $[M_{b}, T]$ , the commutator of Calderón--Zygmund singular integral $T$ with symbol $b$ $(M_{b} f (x) := b (x) f (x))$ on stratif…

math.CA2023

The Garnett-Jones Theorem on BMO spaces associated with operators and applications

Peng Chen, Xuan Thinh Duong, Ji Li +2

Let $X$ be a metric space with doubling measure, and $L$ be a nonnegative self-adjoint operator on $L^{2} (X)$ whose heat kernel satisfies the Gaussian upper bound. Let $f$ be in the…

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.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.CA2012★ 1 cited

One-parameter and multiparameter function classes are intersections of finitely many dyadic classes

Ji Li, Jill Pipher, Lesley A. Ward

We prove that the class of Muckenhoupt A_p weights coincides with the intersection of finitely many suitable translates of dyadic A_p, in both the one-parameter and multiparameter…