Oscillations of BV measures on unbounded nested fractals
Motivated by recent developments in the theory of bounded variation functions on unbounded nested fractals, this paper studies the exact asymptotics of functionals related to the total variation measure associated with unions of n -cells. The oscillatory behavior observed implies the non-uniqueness...
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| Veröffentlicht in: | Journal of fractal geometry 2022-01, Vol.9 (3), p.373-396 |
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| Sprache: | eng |
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| container_end_page | 396 |
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| container_start_page | 373 |
| container_title | Journal of fractal geometry |
| container_volume | 9 |
| creator | Alonso Ruiz, Patricia Baudoin, Fabrice |
| description | Motivated by recent developments in the theory of bounded variation functions on unbounded nested fractals, this paper studies the exact asymptotics of functionals related to the total variation measure associated with unions of n -cells. The oscillatory behavior observed implies the non-uniqueness of BV measures in this setting. |
| doi_str_mv | 10.4171/jfg/122 |
| format | Article |
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| ispartof | Journal of fractal geometry, 2022-01, Vol.9 (3), p.373-396 |
| issn | 2308-1309 2308-1317 |
| language | eng |
| recordid | cdi_crossref_primary_10_4171_jfg_122 |
| source | DOAJ Directory of Open Access Journals; EZB-FREE-00999 freely available EZB journals |
| title | Oscillations of BV measures on unbounded nested fractals |
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