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On products of bounded quasi-continuous functions - MaRDI portal

On products of bounded quasi-continuous functions (Q1396764)

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scientific article; zbMATH DE number 1947620
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On products of bounded quasi-continuous functions
scientific article; zbMATH DE number 1947620

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    On products of bounded quasi-continuous functions (English)
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    9 July 2003
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    Characterizations of real functions which are sums of \(k\) nonnegative (Darboux) quasi-continuous functions among all cliquish functions are proved in two theorems. In two other theorems, those real cliquish functions are described that are products of \(k\) bounded (Darboux) quasi-continuous functions, under some restrictions on their measurability. Several observations concerning products of strong Świątkowski functions, a subclass of Darboux quasi-continuous functions, are made.
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    quasi-continuous function
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    cliquish function
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    Darboux function
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    strong Świątkowski functions
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