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math.AP2019
A look into some of the fine properties of functions with bounded -variation
Adolfo Arroyo-Rabasa, Anna Skorobogatova
We establish certain fine properties for functions of bounded -variation known in the classical setting. Here, is a th order constant-coefficient h…
math.AP2019
Characterization of generalized Young measures generated by -free measures
Adolfo Arroyo-Rabasa
We give two characterizations, one for the class of generalized Young measures generated by -free measures, and one for the class generated by -gradient mea…
math.AP2019
Generalized multi-scale Young measures
Adolfo Arroyo-Rabasa, Johannes Diermeier
This paper is devoted to the construction of generalized multi-scale Young measures, which are the extension of Pedregal's multi-scale Young measures [Trans. Amer. Math. Soc. 358 (…