Trace and density results on regular trees

Abstract

We give characterizations for the existence of traces for first order Sobolev spaces defined on regular trees.

31 pages

References in corpus (4)

• Notions of Dirichlet problem for functions of least gradient in metric measure spaces
• Dyadic norm Besov-type spaces as trace spaces on regular trees
• Traces of Newton-Sobolev, Hajlasz-Sobolev and BV functions on metric spaces
• Bounded geometry and $p$-harmonic functions under uniformization and hyperbolization

Cited by in corpus (1)

• Admissibility versus $A_p$-conditions on regular trees