73 citations · 282 across the 34 of their papers we have counts for
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math.FA2020
Dimension of the space of unitary equivariant translation invariant tensor valuations
K. J. Böröczky, M. Domokos, G. Solanes
Following the work of Semyon Alesker in the scalar valued case and of Thomas Wannerer in the vector valued case, the dimensions of the spaces of continuous translation invariant an…
math.FA2020
Log-Brunn-Minkowski inequality under symmetry
Károly J. Böröczky, Pavlos Kalantzopoulos
We prove the log-Brunn-Minkowski conjecture for convex bodies with symmetries to independent hyperplanes, and discuss the equality case and the uniqueness of the solution of th…
math.MG2020★ 5 cited
Strengthened inequalities for the mean width and the -norm
Károly J. Böröczky, Ferenc Fodor, Daniel Hug
Barthe proved that the regular simplex maximizes the mean width of convex bodies whose John ellipsoid (maximal volume ellipsoid contained in the body) is the Euclidean unit ball; o…