Zhen-Chuan Liu

collaborators

3 papers

math.FA2025

Khintchine inequalities and $Z_{2}$ sets

Chian Yeong Chuah, Zhen-Chuan Liu, Tao Mei

In this paper we show that the subset of integers that satisfies the Khintchine inequality for $p = 1$ with the optimal constant $2$ has to be a $Z_{2}$ set. We further prove…

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.FA2024

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…

Khintchine inequalities and Z2​ sets

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

A Marcinkiewicz Testing Criterion for Schur Multipliers

Khintchine inequalities and $Z_{2}$ sets