K. Böröczky

activity

20092026

most citedThe

L_{p}

dual Minkowski problem for

p > 1

and

q > 0

73 citations · 282 across the 34 of their papers we have counts for

collaborators

Showing math.FAShow all

4 papers · 1 filter

math.FA2026

$L^{2}$ -stability for the variance Brascamp-Lieb inequality

Károly J. Böröczky, Yaozhong W. Qiu, Cyril Roberto

We prove an $L^{2}$ -stability estimate for the variance Brascamp-Lieb inequality [J. Funct. Anal. 22 (4), 366-389 (1976)] by bootstrapping the recent $L^{1}$ -stability theorem of Macha…

math.FA2023

Uniqueness when the $L_{p}$ curvature is close to be a constant for $p \in [0, 1)$

Károly J. Böröczky, Christos Saroglou

For fixed positive integer $n$ , $p \in [0, 1]$ , $a \in (0, 1)$ , we prove that if a function $g : S^{n - 1} \to R$ is sufficiently close to 1, in the $C^{a}$ sense, then there…

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 $n$ independent hyperplanes, and discuss the equality case and the uniqueness of the solution of th…

L2-stability for the variance Brascamp-Lieb inequality

Uniqueness when the Lp​ curvature is close to be a constant for p∈[0,1)

Dimension of the space of unitary equivariant translation invariant tensor valuations

Log-Brunn-Minkowski inequality under symmetry

$L^{2}$ -stability for the variance Brascamp-Lieb inequality

Uniqueness when the $L_{p}$ curvature is close to be a constant for $p \in [0, 1)$