On the Assouad spectrum of Hölder and Sobolev graphs

Efstathios Konstantinos Chrontsios Garitsis, Jeremy T. Tyson

We provide upper bounds for the Assouad spectrum ${\dim }_A^{\theta }(\text{Gr}(f))$ of the graph of a real-valued Hölder or Sobolev function $f$ defined on an interval $I\subset \mathbb{R}$…