Linear extension operators for Sobolev spaces on radially symmetric binary trees
Let 1<p<∞1\lt p\lt \infty and suppose that we are given a function ff defined on the leaves of a weighted tree. We would like to extend ff to a function FF defined on the entire tree, so as to minimize the weighted W1,p{W}^{1,p}-Sobolev norm of the extension. An easy situation is when p=2p=2,...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-06-01
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| Series: | Advanced Nonlinear Studies |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/ans-2022-0075 |