16 citations · 45 across the 24 of their papers we have counts for
4 papers · 1 filter
Quantitative stability of extremal quasi conformal mappings
Zoltán M. Balogh, Károly J. Böröczky, Ágnes Mester
We establish quantitative stability results for classical distortion minimization problems in the theory of quasiconformal mappings. We consider the mean distortion functional and…
Equality in Liakopoulos's generalized dual Loomis-Whitney inequality via Barthe's Reverse Brascamp-Lieb inequality
Karoly J. Böröczky, Ferenc Fodor, Pavlos Kalantzopoulos
We use the characterization of the case of equality in Barthe's Geometric Reverse Brascamp-Lieb inequality to characterize equality in Liakopoulos's volume estimate in terms of sec…
Compactness of the dual Minkowski problem in
Karoly J. Boroczky, Shibing Chen, Weiru Liu +1
We prove the estimate for the th dual Minkowski problem on under fairly general conditions; namely, when lies in [0,1) and , and the th dua…
Uniqueness in the near isotropic Lp dual Minkowski problem
Karoly J. Boroczky, Shibing Chen, Weiru Liu +1
For n>1 and -1<p<1, we prove that if q is close to n and the qth Lp dual curvature is Holder close to be the constant one function, then this "near isotropic" qth Lp dual Minkowski…