The spaces of functions of two variables of bounded \(\kappa \Phi\)-variation in the sense of Schramm-Korenblum (Q490941)
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scientific article; zbMATH DE number 6474844
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The spaces of functions of two variables of bounded \(\kappa \Phi\)-variation in the sense of Schramm-Korenblum |
scientific article; zbMATH DE number 6474844 |
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The spaces of functions of two variables of bounded \(\kappa \Phi\)-variation in the sense of Schramm-Korenblum (English)
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21 August 2015
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Summary: The purpose of this paper is twofold. Firstly, we introduce the concept of bounded \(\kappa\Phi\)-variation in the sense of Schramm-Korenblum for real functions with domain in a rectangle of \(\mathbb R^2\). Secondly, we study some properties of these functions and we prove that the space generated by these functions has a structure of Banach algebra.
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structure of Banach algebra
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