A. Koldobsky

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math.FA2026

Isomorphic Busemann--Petty for arbitrary measures: the sharp order

Alexander Koldobsky, Artem Zvavitch

Let $C_{n}$ be the optimal constant with the following property. For every even, continuous, strictly positive density $f$ on $R^{n}$ and all origin-symmetric convex bodies $K,L\subset…

math.FA2025

Functions positively associated with integral transforms

Alexander Koldobsky

We introduce the class of functions positively associated with a linear operator. We describe these classes for several integral operators including the $q$ -cosine transform and th…