Revista Integración, temas de matemáticas.
Vol. 32 Núm. 1 (2014): Revista Integración, temas de matemáticas
Artículos científicos

El operador de Nemytskii en espacios de variación acotada generalizados

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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