Finite-Support Approximation in Variable-Coefficient Sobolev Spaces on Nonhomogeneous Flow-Measure Trees

Zeyu Cheng, Yichun Zhao, Jiang Zhou

Let $T$ be a nonhomogeneous rooted tree equipped with a positive flow measure $m$. For $1<p<\infty$, consider the variable-coefficient Sobolev space on the nonhomogeneous flow-meas…