Palabras clave
espacios de Banach
operador de Nemytskii
regularized functions of two variables
Banach spaces
Nemytskii operator
Cómo citar
Resumen
In this paper we show that the space of the so-called regularized functions defined on some rectangle in the plane is a Banach space. Moreover, under suitable hypotheses we give a necessary and sufficient condition for the Nemytskii operator to map the space of regularized functions into itself.
Citas
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