6 papers · 1 filter
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 and on bounded domains. We give a complete classification on whether or not these…
Khintchine inequalities and 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 with the optimal constant has to be a set. We further prove…
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, , where , $1 \le m…
Quality of non-compactness for Sobolev Embedding with one point non-compactness
Chian Yeong Chuah, Jan Lang
This paper investigates instances of Sobolev embeddings characterized by local compactness at every point within their domain, except for a single point. We obtain the sharp condit…
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 .
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 -classes. This generalizes a previous work of J. Bourgain for Toeplitz type S…