Optimal hypercontractivity for fermi fields and related non-commutative integration inequalities

Abstract
Optimal hypercontractivity bounds for the fermion oscillator semigroup are obtained. These are the fermion analogs of the optimal hypercontractivity bounds for the boson oscillator semigroup obtained by Nelson. In the process, several results of independent interest in the theory of non-commutative integration are established.

This publication has 24 references indexed in Scilit: