Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar (GAFA Ronen Eldan,Bo‘a(chǎn)z Klartag,Emanuel Milman Book 2023 The Editor(s) (if applica

易碎

left-ventricle

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

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.