1 citations · 4 across the 11 of their papers we have counts for
12 papers
Extensions of the Furstenberg-Sárközy theorem via the arithmetic level- inequality
Carlo Francisco E. Adajar, Rishika Agrawal, Mukul Rai Choudhuri +6
Green and Sawhney recently obtained a quasipolynomial bound in the Furstenberg--Sárközy theorem for square differences by proving an ``arithmetic level-d'' inequality, thereby yiel…
Sharp Operator Khintchine inequality and Property
Chian Yeong Chuah, Zhen-Chuan Liu, Tao Mei
We study the operator Khintchine inequality associated with orthonormal systems and establish two quantitative implications relating its optimal constant to the p…
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 \l…
Superselection sectors for posets of von Neumann algebras
Anupama Bhardwaj, Tristen Brisky, Chian Yeong Chuah +4
We study a commutant-closed collection of von Neumann algebras acting on a common Hilbert space indexed by a poset with an order-reversing involution. We give simple geometric axio…
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…
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 .
Boundary algebras of the Kitaev Quantum Double model
Mario Tomba, Shuqi Wei, Brett Hungar +4
The recent article [arXiv:2307.12552] gave local topological order (LTO) axioms for a quantum spin system, showed they held in Kitaev's Toric Code and in Levin-Wen string net model…
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 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…
Characterization of positive definite, radial functions on free groups
Chian Yeong Chuah, Zhen-Chuan Liu, Tao Mei
This article studies the properties of positive definite, radial functions on free groups following the work of Haagerup and Knudby . We obtain characterizations of radial function…
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…
On Weighted Hardy-Type Inequalities
Chian Yeong Chuah, Fritz Gesztesy, Lance L. Littlejohn +3
We revisit weighted Hardy-type inequalities employing an elementary ad hoc approach that yields explicit constants. We also discuss the infinite sequence of power weighted Birman-H…