A characterization of structural nikol'skiî- besov spaces using fractional derivatives
The Nikol'skiî-Besov spaces Bapq(Rn), 1 0, are defined in terms of modulus of continuity and they are characterized using the partial derivatives of the Poisson integrals. In this work we show a characterizationof the functions of Bapq(Rn) using the Caputo noninteger orderderivative of the Pois...
- Autores:
-
Enríquez, Francisco
Montes, Alex
Pérez, Jhon
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2010
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/73780
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/73780
http://bdigital.unal.edu.co/38257/
- Palabra clave:
- fractional derivatives
Poisson Kernel
Pisson integral
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | The Nikol'skiî-Besov spaces Bapq(Rn), 1 0, are defined in terms of modulus of continuity and they are characterized using the partial derivatives of the Poisson integrals. In this work we show a characterizationof the functions of Bapq(Rn) using the Caputo noninteger orderderivative of the Poisson integral. |
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