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.
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Authors have been supported by the Academy of Finland via Centre of Excellence in Analysis and Dynamics Research (project No. 307333).
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Koskela, P., Wang, Z. Dyadic Norm Besov-Type Spaces as Trace Spaces on Regular Trees. Potential Anal 53, 1317–1346 (2020). https://doi.org/10.1007/s11118-019-09808-5
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DOI: https://doi.org/10.1007/s11118-019-09808-5