Regularized functions on the plane and Nemytskii operators
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.
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| Format: | Online |
| Language: | spa |
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Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA)
2014
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| Online Access: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/14134 |
| Summary: | 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. |
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