Zhen-Chuan Liu

activity

20212025

most citedA Marcinkiewicz Testing Criterion for Schur Multipliers

1 citations · 1 across the 3 of their papers we have counts for

collaborators

Showing math.FAShow all

5 papers · 1 filter

math.FA2025

Sharp Operator Khintchine inequality and $Z_{2}$ Property

Chian Yeong Chuah, Zhen-Chuan Liu, Tao Mei

We study the $p = 1$ operator Khintchine inequality associated with orthonormal systems and establish two quantitative implications relating its optimal constant $A_{1}$ to the $Z_{2}$ p…

math.FA2024

A Direct Proof of Hardy-Littlewood Maximal Inequality for Operator-valued Functions

ChianYeong Chuah, Zhenchuan Liu, Tao Mei

We give a direct proof of the operator valued Hardy-Littlewood maximal inequality for $2 < p < \infty$ .

math.FA2022★ 1 cited

A Marcinkiewicz Testing Criterion for Schur Multipliers

Chianyeong Chuah, Zhenchuan Liu, Tao Mei

We prove a Marcinkiewicz testing condition for the boundedness of Schur multipliers on the Schatten $p$ -classes. This generalizes a previous work of J. Bourgain for Toeplitz type S…

math.FA2021

Characterization of positive definite, radial functions on free groups

Chian Yeong Chuah, Zhen-Chuan Liu, Tao Mei

This article studies the properties of positive definite, radial functions on free groups following the work of Haagerup and Knudby . We obtain characterizations of radial function…

math.FA2021

Paley's inequality for nonabelian groups

ChianYeong Chuah, Yazhou Han, Zhenchuan Liu +1

This article studies Paley's theory for lacunary Fourier series on (nonabelian) discrete groups. The results unify and generalize the work of Rudin for abelian discrete groups and…