| Autor: |
Buffa, Vito, Miranda Jr, Michele |
| Rok vydání: |
2019 |
| Předmět: |
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| Zdroj: |
Annales Fennici Mathematici, 46(1), 309-333 (2021) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.5186/aasfm.2021.4625 |
| Popis: |
Following a Maz'ya-type approach, we adapt the theory of rough traces of functions of bounded variation ($BV$) in the context of doubling metric measure spaces supporting a Poincar\'e inequality. This eventually allows for an integration by parts formula involving the rough trace of such a function. We then compare our analysis with the discussion done in a recent work by P. Lahti and N. Shanmugalingam, where traces of $BV$ functions are studied by means of the more classical Lebesgue-point characterization, and we determine the conditions under which the two notions coincide. |
| Databáze: |
arXiv |
| Externí odkaz: |
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