4 papers
Extensions of the Furstenberg-Sárközy theorem via the arithmetic level- inequality
Carlo Francisco E. Adajar, Rishika Agrawal, Mukul Rai Choudhuri +6
Very recently, Green and Sawhney obtained a quasipolynomial bound in the Furstenberg--Sárközy theorem for square differences by proving an ''arithmetic level-'' inequality, th…
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…