Locally defined operators in the space of functions of bounded \(\varphi \)-variation (Q1952416)
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scientific article; zbMATH DE number 6168746
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Locally defined operators in the space of functions of bounded \(\varphi \)-variation |
scientific article; zbMATH DE number 6168746 |
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Locally defined operators in the space of functions of bounded \(\varphi \)-variation (English)
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30 May 2013
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The main result of the present paper establishes a representation formula for local operators that are self-mappings of a Banach space of continuous functions of bounded \(\varphi\)-variation. The proof combines an iterative argument with techniques in the theory of Nemytskij operators.
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local operator
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Nemytskij (superposition/composition) operator
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continuous function
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function of bounded \(\varphi\)-variation
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