We initiate the study of a duality theory which applies to norm inequalities for pointwise weighted geometric means of positive operators. The theory finds its expression in terms of certain pointwise factorisation properties of function spaces whic…
The purpose of this section is to prove Theorem 2. Throughout we suppose that M′ has non-positive sectional curvature. We start with introducing some notation.
In this section we restate and prove Theorem 1.2. First we calculate the cocycle α of (1.4) in the case of a Heisenberg group. Then we will apply Theorem 1.4.
There aren't more papers