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

Showing math.CAShow all

6 papers · 1 filter

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.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.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 $R^{n}$ …