易碎
发表于 2025-3-30 10:20:55
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left-ventricle
发表于 2025-3-30 13:41:56
A Short Direct Proof of the Ivanisvili-Volberg Inequality,According to the inequality of Ivanisvili and Volberg, for any . and any function . we have . where . for a complex number . is taken with principal branch and . denotes the real part. Here expectation in taken with respect to the uniform measure on .. We provide a short and direct proof of this inequality.
FEAS
发表于 2025-3-30 17:43:24
The Local Logarithmic Brunn-Minkowski Inequality for Zonoids,The aim of this note is to show that the local form of the logarithmic Brunn-Minkowski conjecture holds for zonoids. The proof uses a variant of the Bochner method due to Shenfeld and the author.