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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| Main Author: | |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica.
2014
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| Online Access: | http://www.scielo.sa.cr/scielo.php?script=sci_arttext&pid=S1409-24332014000100002 |
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