Admissibility versus $A_p$-conditions on regular trees

Abstract

We show that the combination of doubling and $(1,p)$-Poincare inequality is equivalent to a version of the $A_p$-condition on rooted K-ary trees.

Dedicated to Professor Pekka Koskela on the occasion of his 59th birthday celebration

References in corpus (2)

• Traces of Newton-Sobolev, Hajlasz-Sobolev and BV functions on metric spaces
• A note on metric-measure spaces supporting Poincaré inequalities