A note on BV and 1-Sobolev functions on the weighted Euclidean space
نویسندگان
چکیده
In the setting of Euclidean space equipped with an arbitrary Radon measure, we prove equivalence between several notions function bounded variation present in literature. We also study relation various definitions 1-Sobolev function.
منابع مشابه
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ژورنال
عنوان ژورنال: Atti della Accademia nazionale dei Lincei
سال: 2023
ISSN: ['1720-0768', '1120-6330']
DOI: https://doi.org/10.4171/rlm/988