Pseudodifferential Operators, Rellich-Kondrachov Theorem and Hardy-Sobolev Spaces
| Autor: | Hoepfner, G., Kapp, R., Picon, T. |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| Popis: | We will present versions of the Rellich-Kondrachov theorem for pseudo-differential operators acting on localizable Hardy spaces. One of the techniques includes boundedness properties for pseudodifferential operators with symbols in the H\"ormander class, that might be of interest in his own right, extending results previously obtained by Goldberg, Alvarez and Hounie, Taylor - among others. As application, we obtain compact embedding results for distributions in nonhomogeneous localizable Hardy-Sobolev spaces. Comment: There is an error in the proof of theorem B. The conclusion of the theorem is correct, but the argument used is not |
| Databáze: | arXiv |
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