Dyadic norm Besov-type spaces as trace spaces on regular trees
Functional Analysis
2019-12-03 v1
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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Cite
@article{arxiv.1908.06937,
title = {Dyadic norm Besov-type spaces as trace spaces on regular trees},
author = {Pekka Koskela and Zhuang Wang},
journal= {arXiv preprint arXiv:1908.06937},
year = {2019}
}
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37 pages