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: | Article |
| Language: | Spanish |
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Universidad de Costa Rica
2014-01-01
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| Series: | Revista de Matemática: Teoría y Aplicaciones |
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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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| ISSN: | 2215-3373 |