Ming-Yi Lee

activity

20132023

most citedMaximal function, Littlewood--Paley theory, Riesz transform and atomic decomposition in the multi-parameter flag setting

2 citations · 4 across the 10 of their papers we have counts for

collaborators

10 papers

math.FA2023

Lipschitz and Triebel--Lizorkin spaces, commutators in Dunkl setting

Yongsheng Han, Ming-Yi Lee, Ji Li +1

We first study the Lipschitz spaces $Λ_{d}^{β}$ associated with the Dunkl metric, $β \in (0, 1)$ , and prove that it is a proper subspace of the classical Lipschitz spaces $Λ^{β}$ on $\mat…

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.CA2022

Singular integral operators, $T 1$ theorem, Littlewood-Paley theory and Hardy spaces in Dunkl Setting

Chaoqian Tan, Yanchang Han, Yongsheng Han +2

The purpose of this paper is to introduce a new class of singular integral operators in the Dunkl setting involving both the Euclidean metric and the Dunkl metric. Then we provide…

math.CA2021

Riesz transform and commutators in the Dunkl setting

Yongsheng Han, Ming-Yi Lee, Ji Li +1

In this paper we characterise the optimal pointwise size and regularity estimates for the Dunkl Riesz transform kernel involving both the Euclidean metric and the Dunkl metric, whe…

math.CA2021

The Two Weight Inequality for Poisson Semigroup on Manifold with Ends

Xuan Thinh Duong, Ming-Yi Lee, Ji Li +1

Let $M = R^{m} ♯ R^{n}$ be a non-doubling manifold with two ends $R^{m} ♯ R^{n}$ , $m > n \geq 3$ . Let $Δ$ be the Laplace--Beltrami operator which…

math.FA2021★ 1 cited

Flag Hardy space theory on Heisenberg groups and applications

Peng Chen, Michael G. Cowling, Ming-Yi Lee +2

We establish a complete theory of the flag Hardy space on the Heisenberg group $H^{n}$ with characterisations via atomic decompositions, area functions, square functions, m…

math.FA2017★ 1 cited

Boundedness of Monge-Ampere singular integral operators on Besov spaces

Yongshen Han, Ming-Yi Lee, Chin-Cheng Lin

Let $ϕ : R^{n} \mapsto R$ be a strictly convex and smooth function, and $μ = det D^{2} ϕ$ be the Monge-Ampère measure generated by $ϕ .$ For $x \in R^{n}$ and $t > 0$ , l…

math.CA2016★ 2 cited

Maximal function, Littlewood--Paley theory, Riesz transform and atomic decomposition in the multi-parameter flag setting

Yongsheng Han, Ming-Yi Lee, Ji Li +1

In this paper, we develop via real variable methods various characterisations of the Hardy spaces in the multi-parameter flag setting. These characterisations include those via, th…

math.FA2016

On weak-star convergence in product Hardy spaces on spaces of homogeneous type

Ming-Yi Lee, Ji Li, Lesley A. Ward

A classical theorem of Jones and Journé on weak-star convergence in the Hardy space $H^{1}$ was generalised to the multiparameter setting by Pipher and Treil. We prove the analogous…

math.CA2013

$T b$ theorem on product spaces

Yongsheng Han, Ming-Yi Lee, Chin-Cheng Lin

In this paper, we prove a $T b$ theorem on product spaces $R^{n} \times R^{m}$ , where $b (x_{1}, x_{2}) = b_{1} (x_{1}) b_{2} (x_{2})$ , $b_{1}$ and $b_{2}$ are para-accretive functions on $R^{n}$ …

Lipschitz and Triebel--Lizorkin spaces, commutators in Dunkl setting

The Riesz Transform and Fractional Integral Operators in the Bessel Setting

Singular integral operators, T1 theorem, Littlewood-Paley theory and Hardy spaces in Dunkl Setting

Riesz transform and commutators in the Dunkl setting

The Two Weight Inequality for Poisson Semigroup on Manifold with Ends

Flag Hardy space theory on Heisenberg groups and applications

Boundedness of Monge-Ampere singular integral operators on Besov spaces

Maximal function, Littlewood--Paley theory, Riesz transform and atomic decomposition in the multi-parameter flag setting

On weak-star convergence in product Hardy spaces on spaces of homogeneous type

Tb theorem on product spaces

Singular integral operators, $T 1$ theorem, Littlewood-Paley theory and Hardy spaces in Dunkl Setting

$T b$ theorem on product spaces