Hölder estimates for the noncommutative Mazur maps

الأصل · EN

For any von Neumann algebra M, the noncommutative Mazur map Mₚ,q from Lₚ(M) to Lq(M) with 1≤ p,q<∞ is defined by f f|f| p-qq. In analogy with the commutative case, we gather estimates showing that Mₚ,q is { pq,1}-Hölder on balls.