On Anisotropic $BV$-Spaces
This paper is devoted to the study of a new class of functional spaces, the so-called anisotropic $BV$-spaces with a degenerate weight. We give a precise definition of such spaces and show that they can be viewed as a natural generalization of the standard space of functions with bounded variation.
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| Format: | Article |
| Language: | English |
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Oles Honchar Dnipro National University
2025-08-01
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| Series: | Researches in Mathematics |
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| Online Access: | https://vestnmath.dnu.dp.ua/index.php/rim/article/view/451/451 |
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| author | P. Kogut |
| author_facet | P. Kogut |
| author_sort | P. Kogut |
| collection | DOAJ |
| description | This paper is devoted to the study of a new class of functional spaces, the so-called anisotropic $BV$-spaces with a degenerate weight. We give a precise definition of such spaces and show that they can be viewed as a natural generalization of the standard space of functions with bounded variation. |
| format | Article |
| id | doaj-art-ec7d18a75d9f4d8fba5451e79ff49c45 |
| institution | Kabale University |
| issn | 2664-4991 2664-5009 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | Oles Honchar Dnipro National University |
| record_format | Article |
| series | Researches in Mathematics |
| spelling | doaj-art-ec7d18a75d9f4d8fba5451e79ff49c452025-08-20T04:02:27ZengOles Honchar Dnipro National UniversityResearches in Mathematics2664-49912664-50092025-08-01331235310.15421/242503On Anisotropic $BV$-SpacesP. Kogut0https://orcid.org/0000-0003-1593-0510Oles Honchar Dnipro National UniversityThis paper is devoted to the study of a new class of functional spaces, the so-called anisotropic $BV$-spaces with a degenerate weight. We give a precise definition of such spaces and show that they can be viewed as a natural generalization of the standard space of functions with bounded variation.https://vestnmath.dnu.dp.ua/index.php/rim/article/view/451/451bounded variationanisotropic spacebv spacegeneralized weighted gradient |
| spellingShingle | P. Kogut On Anisotropic $BV$-Spaces Researches in Mathematics bounded variation anisotropic space bv space generalized weighted gradient |
| title | On Anisotropic $BV$-Spaces |
| title_full | On Anisotropic $BV$-Spaces |
| title_fullStr | On Anisotropic $BV$-Spaces |
| title_full_unstemmed | On Anisotropic $BV$-Spaces |
| title_short | On Anisotropic $BV$-Spaces |
| title_sort | on anisotropic bv spaces |
| topic | bounded variation anisotropic space bv space generalized weighted gradient |
| url | https://vestnmath.dnu.dp.ua/index.php/rim/article/view/451/451 |
| work_keys_str_mv | AT pkogut onanisotropicbvspaces |