158 citations · 341 across the 12 of their papers we have counts for
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math.FA2019
Sharp Sobolev inequalities via projection averages
Philipp Kniefacz, Franz E. Schuster
A family of sharp Sobolev inequalities is established by averaging the length of -dimensional projections of the gradient of a function. Moreover, it is shown that each of…
math.MG2019
Lutwak-Petty projection inequalities for Minkowski valuations and their duals
Astrid Berg, Franz E. Schuster
Lutwak's volume inequalities for polar projection bodies of all orders are generalized to polarizations of Minkowski valuations generated by even, zonal measures on the Euclidean u…
math.MG2019
Spherical centroid bodies
Florian Besau, Thomas Hack, Peter Pivovarov +1
The spherical centroid body of a centrally-symmetric convex body in the Euclidean unit sphere is introduced. Two alternative definitions - one geometric, the other probabilistic in…