The Spaces of Functions of Two Variables of Bounded κΦ-Variation in the Sense of Schramm-Korenblum
The purpose of this paper is twofold. Firstly, we introduce the concept of bounded κΦ-variation in the sense of Schramm-Korenblum for real functions with domain in a rectangle of R2. Secondly, we study some properties of these functions and we prove that the space generated by these functions has a...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/727312 |
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| author | A. Azócar O. Mejía N. Merentes S. Rivas |
| author_facet | A. Azócar O. Mejía N. Merentes S. Rivas |
| author_sort | A. Azócar |
| collection | DOAJ |
| description | The purpose of this paper is twofold. Firstly, we introduce the concept of bounded κΦ-variation in the sense of Schramm-Korenblum for real functions with domain in a rectangle of R2. Secondly, we study some properties of these functions and we prove that the space generated by these functions has a structure of Banach algebra. |
| format | Article |
| id | doaj-art-0357f611eb6a4dfca0afab3eb060bb3e |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-0357f611eb6a4dfca0afab3eb060bb3e2025-08-20T02:03:25ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/727312727312The Spaces of Functions of Two Variables of Bounded κΦ-Variation in the Sense of Schramm-KorenblumA. Azócar0O. Mejía1N. Merentes2S. Rivas3Departamento de Matemática, Universidad Nacional Abierta, Caracas, VenezuelaDepartamento de Matemática, Universidad Central de Venezuela, Caracas 1220A, VenezuelaDepartamento de Matemática, Universidad Central de Venezuela, Caracas 1220A, VenezuelaDepartamento de Matemática, Universidad Nacional Abierta, Caracas, VenezuelaThe purpose of this paper is twofold. Firstly, we introduce the concept of bounded κΦ-variation in the sense of Schramm-Korenblum for real functions with domain in a rectangle of R2. Secondly, we study some properties of these functions and we prove that the space generated by these functions has a structure of Banach algebra.http://dx.doi.org/10.1155/2015/727312 |
| spellingShingle | A. Azócar O. Mejía N. Merentes S. Rivas The Spaces of Functions of Two Variables of Bounded κΦ-Variation in the Sense of Schramm-Korenblum Journal of Function Spaces |
| title | The Spaces of Functions of Two Variables of Bounded κΦ-Variation in the Sense of Schramm-Korenblum |
| title_full | The Spaces of Functions of Two Variables of Bounded κΦ-Variation in the Sense of Schramm-Korenblum |
| title_fullStr | The Spaces of Functions of Two Variables of Bounded κΦ-Variation in the Sense of Schramm-Korenblum |
| title_full_unstemmed | The Spaces of Functions of Two Variables of Bounded κΦ-Variation in the Sense of Schramm-Korenblum |
| title_short | The Spaces of Functions of Two Variables of Bounded κΦ-Variation in the Sense of Schramm-Korenblum |
| title_sort | spaces of functions of two variables of bounded κφ variation in the sense of schramm korenblum |
| url | http://dx.doi.org/10.1155/2015/727312 |
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