K. Böröczky

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20242026

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math.FA2026

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

KÃ¡roly J. BÃ¶rÃ¶czky, Károly J. Böröczky, Yaozhong W. Qiu +1

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.FA2024

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

KÃ¡roly J. BÃ¶rÃ¶czky, 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…

L2-stability for the variance Brascamp-Lieb inequality

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

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

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