On the interpolation between certain theorems on fourier transforms
It is well known that if f(x) belongs to LP(R), 1 and lt; P ≤ 2, then the Hausdorff-Young inequality ([1],Theorem 74) asserts that its Fourier transform f(u) belongs to LP1 (R), where1/P1 +1/P = 1
- Autores:
-
Younis, M. S.
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 1988
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/43220
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/43220
http://bdigital.unal.edu.co/33318/
- Palabra clave:
- Hausdorff-Young inequality
Fourier transform
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | It is well known that if f(x) belongs to LP(R), 1 and lt; P ≤ 2, then the Hausdorff-Young inequality ([1],Theorem 74) asserts that its Fourier transform f(u) belongs to LP1 (R), where1/P1 +1/P = 1 |
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