Weak type operator Lipschitz and commutator estimates for commuting tuples

Martijn Caspers, Fedor Sukochev, Dmitriy Zanin

Let $f:{\mathbb{R}}^d\to \mathbb{R}$ be a Lipschitz function. If $B$ is a bounded self-adjoint operator and if $\{A_k{\}}_{k=1}^d$ are commuting bounded self-adjoint operators such th…