Abstract

In this paper, we study the traces of Orlicz-Sobolev spaces on a regular rooted tree. After giving a dyadic decomposition of the boundary of the regular tree, we present a characterization on the trace spaces of those first order Orlicz-Sobolev spaces whose Young function is of the form tplogλ⁡(e+t), based on integral averages on dyadic elements of the dyadic decomposition.

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