On Burenkov's extension operator preserving Sobolev-Morrey spaces on Lipschitz domains
| Autor: | Pier Domenico Lamberti, Maria Stella Fanciullo |
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| Rok vydání: | 2016 |
| Předmět: |
Mathematics::Functional Analysis
Pure mathematics 010308 nuclear & particles physics Euclidean space General Mathematics 010102 general mathematics Mathematics::Classical Analysis and ODEs Mathematics::Analysis of PDEs Open set Extension (predicate logic) Lipschitz continuity 01 natural sciences Sobolev space Operator (computer programming) Bounded function 0103 physical sciences 0101 mathematics Mathematics |
| Zdroj: | Mathematische Nachrichten. 290:37-49 |
| ISSN: | 0025-584X |
| DOI: | 10.1002/mana.201500459 |
| Popis: | We prove that Burenkov's extension operator preserves Sobolev spaces built on general Morrey spaces, including classical Morrey spaces. The analysis concerns bounded and unbounded open sets with Lipschitz boundaries in the n-dimensional Euclidean space. |
| Databáze: | OpenAIRE |
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