13 citations · 24 across the 5 of their papers we have counts for
5 papers
Dimension-free discretizations of the uniform norm by small product sets
Lars Becker, Ohad Klein, Joseph Slote +2
Let be an analytic polynomial of degree at most . A classical inequality of Bernstein compares the supremum norm of over the unit circle to its supremum norm over the…
Noncommutative Bohnenblust--Hille inequalities
Alexander Volberg, Haonan Zhang
Bohnenblust--Hille inequalities for Boolean cubes have been proven with dimension-free constants that grow subexponentially in the degree \cite{defant2019fourier}. Such inequalitie…
Some convexity and monotonicity results of trace functionals
Haonan Zhang
In this paper, we prove the convexity of trace functionals for parameters that are best possible, where and are any…
Norms of certain functions of a distinguished Laplacian on the groups
Rauan Akylzhanov, Yulia Kuznetsova, Michael Ruzhansky +1
The aim of this paper is to find new estimates for the norms of functions of the (minus) Laplace operator on the `' groups. The central part is devoted to spectrally…
Equality conditions of Data Processing Inequality for - Rényi relative entropies
Haonan Zhang
The - Rényi relative entropies are a two-parameter family of Rényi relative entropies that are quantum generalizations of the classical -Rényi relative entropies. In \cite…