Dyadic norm Besov-type spaces as trace spaces on regular trees

Abstract

In this paper, we study function spaces defined via dyadic energies on the boundaries of regular trees. We show that correct choices of dyadic energies result in Besov-type spaces that are trace spaces of (weighted) first order Sobolev spaces.

37 pages

References in corpus (2)

• Traces of Besov spaces revisited
• Besov spaces via hyperbolic fillings

Cited by in corpus (4)

• Trace and density results on regular trees
• Traces of Newton-Sobolev, Hajlasz-Sobolev and BV functions on metric spaces
• Admissibility versus $A_p$-conditions on regular trees
• Characterization of trace spaces on regular trees via dyadic norms