Fine properties of functions with bounded variation in Carnot-Carathéodory spaces
Don, S., & Vittone, D. (2019). Fine properties of functions with bounded variation in Carnot-Carathéodory spaces. Journal of Mathematical Analysis and Applications, 479 (1), 482-530. doi:10.1016/j.jmaa.2019.06.035
Published in
Journal of Mathematical Analysis and ApplicationsDate
2019Discipline
MatematiikkaCopyright
© 2019 Elsevier Inc.
We study properties of functions with bounded variation in Carnot-Carathéodory
spaces. We prove their almost everywhere approximate differentiability and we
examine their approximate discontinuity set and the decomposition of their
distributional derivatives. Under an additional assumption on the space, called
property R, we show that almost all approximate discontinuities are of jump type
and we study a representation formula for the jump part of the derivative.
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Academic PressISSN Search the Publication Forum
0022-247XKeywords
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