Tao Mei

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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 $2 < p < \infty$ .

Khintchine inequalities and Z2​ sets

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

Khintchine inequalities and $Z_{2}$ sets