Revista Integración, temas de matemáticas.
Vol. 35 Núm. 2 (2017): Revista Integración, temas de matemáticas
Artículo Original

Propiedades de aproximación en espacios de Herz

Jhean E. Pérez-López
Universidad Industrial de Santander
Biografía

Publicado 2018-03-06

Palabras clave

  • Espacios de Herz,
  • Molificadores,
  • Convolución,
  • Espacios funcionales

Cómo citar

Pérez-López, J. E. (2018). Propiedades de aproximación en espacios de Herz. Revista Integración, Temas De matemáticas, 35(2), 215–223. https://doi.org/10.18273/revint.v35n2-2017005

Resumen

In this paper we consider the Herz spaces Kαp,q , which are a natural generalization of the Lebesgue spaces Lp . We prove some approximation properties such as density of the space C∞ c (R n), continuity of the translation, continuity of the mollification, global behavior of the convolution with smooth funtions, among others.

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Referencias

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