Published Paper
Inserted: 5 feb 2002
Last Updated: 28 jan 2004
Journal: Math. Z.
Volume: 245
Pages: 123-153
Year: 2003
Abstract:
We prove the almost everywhere approximate differentiability of functions with bounded variation in stratified groups and we study their approximate discontinuity set. We introduce functions of bounded higher order variation and obtain a weak version of Alexandroff differentiability theorem in this context. We present a nontrivial class of functions with second order bounded variation, arising from inf-convolution formula of a suitable ``cost'' function.
Keywords: BV functions, stratified groups, differentiability
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