Abstract

AZIZ, Wadie. Regularized functions on the plane and nemytskii operators. Rev. Mat [online]. 2014, vol.21, n.1, pp.11-20. ISSN 1409-2433.

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.

Keywords : regularized functions of two variables; Banach spaces; Nemytskii operator..

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