Abstract

For f∈BV(Rn), a function of bounded variation, we establish requirements on f such that its total variation ‖Df‖ is minimal compared to that of its affine transforms of the same Lnn−1 norm. In addition, a weak version of the affine Pólya-Szegö principle on BV(Rn) and a weak affine Sobolev inequalities are established.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call