23 citations · 132 across the 75 of their papers we have counts for
83 papers
The Strong Naor--Schechtman Convolution Inequality on the Product of Cyclic Groups
Yong Jiao, Sijie Luo, Dmitriy Zanin +1
In this paper, we resolve the convolution inequality problem posed by Naor and Schechtman in \cite[Question 6.1]{N-S2016} (see also \cite{Na2016}). More precisely, we establish the…
Lack of isomorphic embedding from Lorentz function spaces into Lorentz operator ideals
Jinghao Huang, Fedor Sukochev, Dmitriy Zanin
In the present paper, we study the existence of isomorphic embeddings from Lorentz function spaces into Lorentz ideals in In particula…
Sharp Fractional Riesz Estimates on the Hypercube
Yong Jiao, Sijie Luo, Dmitriy Zanin +1
Let be the -dimensional hypercube equipped with the normalized uniform measure, let be the Walsh gradient and let be the Walsh Laplacian. For eve…
Isometric embeddings of noncommutative -spaces into noncommutative symmetric spaces
Jinghao Huang, Marius Junge, Fedor Sukochev +1
We establish a noncommutative version of a familiar Johnson--Maurey--Schechtman--Tzafriri Theorem, by showing that for any and a (not necessarily semifinite) von Neumann a…
Isomorphisms between symmetric spaces over infinite and finite von Neumann algebras
Jinghao Huang, Fedor Sukochev, Dmitriy Zanin
The primary aim of this paper is to show a linear topological isomorphism between (elements of a wide class {of}) symmetric spaces over the hyperfinite factor …
Weyl asymptotic formulas in the nilpotent Lie group setting
Shiqi Liu, Edward McDonald, Fedor Sukochev +1
The asymptotic properties of negative order pseudo-differential operators have been an important part of the spectral theory since H.Weyl's classical results. In this paper, we der…