Dyadic Norm Besov-Type Spaces as Trace Spaces on Regular Trees
Koskela, P., & Wang, Z. (2020). Dyadic Norm Besov-Type Spaces as Trace Spaces on Regular Trees. Potential Analysis, 53(4), 1317-1346. https://doi.org/10.1007/s11118-019-09808-5
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Potential AnalysisDate
2020Copyright
© The Author(s) 2019
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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SpringerISSN Search the Publication Forum
0926-2601Keywords
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https://converis.jyu.fi/converis/portal/detail/Publication/33576199
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Research Council of FinlandFunding program(s)
Centre of Excellence, AoFAdditional information about funding
Authors have been supported by the Academy of Finland via Centre of Excellence in Analysis and Dynamics Research (project No. 307333).License
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