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Rearrangements and infimum convolutions

Published 11 Aug 2025 in math.PR, math.AP, and math.FA | (2508.07983v1)

Abstract: We develop a general comparison result for inf convolution operators related to rearrangement. As a consequence we derive comparison results under spherically symmetric rearrangement for Laplace and polar transforms. As a by product we simplify existing proofs related to the functional Blaschke Santalo inequality of Keith Ball and derive a comparison result for some parabolic PDE.

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