Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 32 Núm. 1 (2014): Revista Integración, temas de matemáticas
Artículo Original

El operador de Nemytskii en espacios de variación acotada generalizados

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  • René Erlín Castillo,
  • Humberto Rafeiro,
  • Eduard Trousselot
René Erlín Castillo
Universidad Nacional de Colombia
Humberto Rafeiro
Pontificia Universidad Javeriana
Eduard Trousselot
Universidad de Oriente

Publicado 2014-05-22

Palabras clave

  • p-variación de Riesz,
  • variación (φ, α)-acotada.

Cómo citar

Castillo, R. E., Rafeiro, H., & Trousselot, E. (2014). El operador de Nemytskii en espacios de variación acotada generalizados. Revista Integración, Temas De matemáticas, 32(1), 71–90. Recuperado a partir de https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/4064

Resumen

En este artículo demostramos que si el operador de Nemytskii lleva el espacio de variación (φ, α)-acotada en sí mismo, y satisface cierta condición de Lipschitz, entonces existen dos funciones g y h perteneciendo al espacio de variación (φ, α)-acotada tal que f (t, y) = g(t)y + h(t) para todo t ∈ [a, b], y ∈ R.

Para citar este artículo: R. E. Castillo, H. Rafeiro, E. Trousselot, Nemytskii operator on generalized bounded variation space, Rev. Integr. Temas Mat. 32 (2014), no. 1, 71–90.

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