دورية أكاديمية
A choice of Sobolev spaces associated with ultraspherical expansions
| العنوان: | A choice of Sobolev spaces associated with ultraspherical expansions |
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| المؤلفون: | Betancor, Jorge J., Fariña, J. C., Rodríguez-Mesa, L., Testoni, R., Torrea, J. L. |
| المصدر: | Publicacions Matemàtiques; Vol. 54, Núm. 1 (2010); p. 221-242 |
| Publication Status: | published |
| بيانات النشر: | Publicacions Matemàtiques, 2010. |
| سنة النشر: | 2010 |
| الوصف: | We discuss two possible definitions for Sobolev spaces associated with ultraspherical expansions. These definitions depend on the notion of higher order derivative. We show that in order to have an isomorphism between Sobolev and potential spaces, the higher order derivatives to be considered are not the iteration of the first order derivatives. Some discussions about higher order Riesz transforms are involved. Also we prove that the maximal operator for the Poisson integral in the ultraspherical setting is bounded on the Sobolev spaces. |
| نوع الوثيقة: | article |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 2014-4350 0214-1493 |
| Relation: | https://www.raco.cat/index.php/PublicacionsMatematiques/article/view/154826/387527 |
| DOI: | 10.5565/154826 |
| URL الوصول: | https://www.raco.cat/index.php/PublicacionsMatematiques/article/view/154826 |
| رقم الأكسشن: | edsrac.154826 |
| قاعدة البيانات: | RACO (Revistes Catalanes amb Accés Obert) |
| تدمد: | 20144350 02141493 |
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| DOI: | 10.5565/154826 |