Kangwei Li

activity

20122023

most citedExtrapolation for multilinear Muckenhoupt classes and applications to the bilinear Hilbert transform

50 citations · 397 across the 45 of their papers we have counts for

collaborators

Showing 2018Show all

7 papers · 1 filter

math.CA2018★ 2 cited

Restricted testing for the Hardy-Littlewood maximal function

Kangwei Li, Eric T. Sawyer

We answer a special case of a question of T. Hytonen regarding the two weight norm inequality for the maximal function M in the affirmative, namely that there is a constant D > 1,…

math.CA2018

Bloom type upper bounds in the product BMO setting

Kangwei Li, Henri Martikainen, Emil Vuorinen

For a bounded singular integral $T_{n}$ in $R^{n}$ and a bounded singular integral $T_{m}$ in $R^{m}$ we prove that $$ \| [T_n^1, [b, T_m^2]] \|_{L^p(μ) \to L^p(λ)} \less…

math.CA2018

Quasi-Banach estimates of commutators of bilinear bi-parameter singular integrals: paraproducts

Kangwei Li, Henri Martikainen, Emil Vuorinen

We complete our boundedness theory of commutators of bilinear bi-parameter singular integrals by establishing the following result. If $T$ is a bilinear bi-parameter singular integ…

math.CA2018

Bloom type inequality for bi-parameter singular integrals: efficient proof and iterated commutators

Kangwei Li, Henri Martikainen, Emil Vuorinen

Utilising some recent ideas from our bilinear bi-parameter theory, we give an efficient proof of a two-weight Bloom type inequality for iterated commutators of linear bi-parameter…

math.CA2018

Flow with $A_{\infty} (R)$ density and transport equation in $BMO (R)$

Renjin Jiang, Kangwei Li, Jie Xiao

We show that, if $b \in L^{1} (0, T; L_{loc}^{1} (R))$ has spatial derivative in the John-Nirenberg space $BMO (R)$ , then it generalizes a unique flow $ϕ(…

math.CA2018★ 2 cited

Commutators of bilinear bi-parameter singular integrals

Kangwei Li, Henri Martikainen, Emil Vuorinen

We study the boundedness properties of commutators formed by $b$ and $T$ , where $T$ is a bilinear bi-parameter singular integral satisfying natural $T 1$ type conditions and $b$ is…

Restricted testing for the Hardy-Littlewood maximal function

Bloom type upper bounds in the product BMO setting

Quasi-Banach estimates of commutators of bilinear bi-parameter singular integrals: paraproducts

Bloom type inequality for bi-parameter singular integrals: efficient proof and iterated commutators

Flow with A∞​(R) density and transport equation in BMO(R)

Commutators of bilinear bi-parameter singular integrals

Flow with $A_{\infty} (R)$ density and transport equation in $BMO (R)$