Weak $(1,1)$ estimates for multiple operator integrals and generalized absolute value functions

Martijn Caspers, Fedor Sukochev, Dmitriy Zanin

Consider the generalized absolute value function defined by \[ a(t) = \vert t \vert t^{n-1}, \qquad t \in \mathbb{R}, n \in \mathbb{N}_{\geq 1}. \] Further, consider the $n$-th ord…