A Santaló-type inequality for the transform

Dan I. Florentin, Alexander Segal

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


This paper deals with an analog of the Mahler volume product related to the ℑ transform acting in the class of geometric convex functions Cvx0(ℝn). We provide asymptotically sharp bounds for the quantity sJ(f) = ∫e-ℑf ∫e-f and characterize all the extremal functions.

Original languageEnglish
Article number1950090
JournalCommunications in Contemporary Mathematics
Issue number1
StatePublished - 1 Feb 2021
Externally publishedYes

Bibliographical note

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© 2021 World Scientific Publishing Company.


  • Convex
  • Legendre
  • Mahler
  • Santaló
  • functional


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