Fourier inequalities in Morrey and Campanato spaces
We study norm inequalities for the Fourier transform, namely, ||(f) over cap||(lambda)(Xp,q) less than or similar to ||f||Y, (0,1) where Xis either a Morrey or Campanato space and Y is an appropriate function space. In the case of the Morrey space we sharpen the estimate ||(f) over cap ||M-p,q(lambd...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2072/480061 |
| Acceso en línea: | http://hdl.handle.net/2072/480061 |
| Access Level: | acceso abierto |
| Palabra clave: | Fourier inequalities Morrey spaces Campanato spaces 51 |
| Sumario: | We study norm inequalities for the Fourier transform, namely, ||(f) over cap||(lambda)(Xp,q) less than or similar to ||f||Y, (0,1) where Xis either a Morrey or Campanato space and Y is an appropriate function space. In the case of the Morrey space we sharpen the estimate ||(f) over cap ||M-p,q(lambda) less than or similar to ||f||L-s',L-q, s >= 2, 1/s= 1/p-lambda/n. We also show that (0.1) does not hold when both X and Y are Morrey spaces. |
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