C. Chuah

activity

20192025

most citedA Bourgain-Gromov problem on non-compact Sobolev-Lorentz embeddings

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

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5 papers · 1 filter

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.FA2025★ 1 cited

A Bourgain-Gromov problem on non-compact Sobolev-Lorentz embeddings

Chian Yeong Chuah, Jan Lang, Liding Yao

We study the non-compact Sobolev embeddings into the optimal scale of Lorentz spaces, $W_{0}^{m} L^{p, q} (Ω) \to L^{\frac{d p}{d - m p}, r} (Ω)$ , where $Ω \subseteq R^{d}$ , $1 \le m \l…

math.FA2024

A Classification Theorem on Non-compact Embeddings between Besov Spaces

Chian Yeong Chuah, Jan Lang, Liding Yao

We analyze the embedding properties between Besov spaces, defined on the total space $R^{n}$ and on bounded domains. We give a complete classification on whether or not these…

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.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…