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A functional inequality between Hessians in spaces with non-zero curvature

Volume 286 / 2026

Tomasz Cieślak, Michał Gaczkowski, Wojciech Kryński Studia Mathematica 286 (2026), 303-311 MSC: Primary 46T99; Secondary 53B99 DOI: 10.4064/sm250804-13-10 Published online: 6 February 2026

Abstract

A version of the recent functional inequality [Z. Anal. Anwend. 43 (2024), 49–65] between the Hessians of the square root and the logarithm of positive functions is proven in spaces with non-zero curvature.

Authors

  • Tomasz CieślakInstitute of Mathematics
    Polish Academy of Sciences
    00-656 Warszawa, Poland
    e-mail
  • Michał GaczkowskiFaculty of Mathematics and Information Sciences
    Warsaw University of Technology
    00-662 Warszawa, Poland
    e-mail
  • Wojciech KryńskiInstitute of Mathematics
    Polish Academy of Sciences
    00-656 Warszawa, Poland
    e-mail

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