21 papers
Dimension-free Riesz transform estimates on biased hypercubes via non-tracial baby Fock models
Hun Hee Lee, Zhendong Xu, Sang-gyun Youn +1
We study dimension-free Riesz transform estimates on hypercubes equipped with non-uniform product measures. For , we prove a dimension-free Meyer inequality for the…
Non-unitarizable representations of compact and discrete quantum groups
Fatemeh Khosravi, Sang-Gyun Youn
We study the similarity problem for representations of compact and discrete quantum groups. We first prove that every non-degenerate contractive representation of a compact or disc…
Twisted Fourier transforms on non-Kac compact quantum groups
Sang-Gyun Youn
We introduce an analytic family of twisted Fourier transforms for non-Kac compact quantum groups and establish a s…
An analytic characterization of freeness for finitely generated discrete quantum groups
Yoonje Jeong, Sang-Gyun Youn
We prove that a freer quantum group has smaller moments of the self-adjoint main character in the category of finitely generated discrete quantum groups. As a result, the moments a…
A Khintchine inequality for central Fourier series on non-Kac compact quantum groups
Sang-Gyun Youn
The study of Khintchin inequalities has a long history in abstract harmonic analysis. While there is almost no possibility of non-trivial Khintchine inequality for central Fourier…
A central limit theorem for partial transposes of multipartite Wishart matrices
Gyunam Park, Sang-Gyun Youn
The partial transposition from quantum information theory provides a new source to distill the so-called asymptotic freeness without the assumption of classical independence betwee…