On some representations of almost everywhere continuous functions on $ℝ^{m}$

Ewa Strońska

On some representations of almost everywhere continuous functions on

ℝ^{m}

Ewa Strońska

Colloquium Mathematicae, Tome 106 (2006), p. 319-331 / Harvested from The Polish Digital Mathematics Library

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Résumé

It is proved that the following conditions are equivalent: (a) f is an almost everywhere continuous function on $ℝ^{m}$ ; (b) f = g + h, where g,h are strongly quasicontinuous on $ℝ^{m}$ ; (c) f = c + gh, where c ∈ ℝ and g,h are strongly quasicontinuous on $ℝ^{m}$ .

Publié le : 2006-01-01

Zbl 1098.26009

EUDML-ID : urn:eudml:doc:286226

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Ewa Strońska. On some representations of almost everywhere continuous functions on $ℝ^{m}$
            . Colloquium Mathematicae, Tome 106 (2006) pp. 319-331. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm105-2-12/