The Sobolev extension problem on trees and in the plane
Let V be a finite tree with radially decaying weights. We show that there exists a set E⊂R2 $E\subset {\mathbb{R}}^{2}$ for which the following two problems are equivalent: (1) Given a (real-valued) function ϕ on the leaves of V, extend it to a function Φ on all of V so that ‖Φ‖L1,p(V) ${\Vert}{\Ph...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2025-01-01
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| Series: | Advanced Nonlinear Studies |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/ans-2023-0158 |
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