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In this paper, we study the traces of Orlicz-Sobolev spaces on a regularrooted tree. After giving a dyadic decomposition of the boundary of the regulartree, we present a characterization on the trace spaces of those first orderOrlicz-Sobolev spaces whose Young function is of the form$t^p\log^\lambda(e+t)$, based on integral averages on dyadic elements of thedyadic decomposition.

Characterization of trace spaces on regular trees via dyadic norms