Isoperimetric inequalities for the heat potential operator

Tynysbek Sh Kal’menov, Aidyn Kassymov, Durvudkhan Suragan

Research output: Contribution to journalArticlepeer-review


In this paper we prove that the circular cylinder is a maximizer of the Schatten p-norm of heat potential operator among all Euclidean cylindric domains of a given measure. We also give analogues of a Rayleigh-Faber-Krahn and a Hong-Krahn-Szegö type inequalities.

Original languageEnglish
Pages (from-to)903-910
Number of pages8
Issue number3
Publication statusPublished - Jan 1 2018


  • Heat potential operator
  • Hong-Krahn-Szegö inequality
  • Rayleigh-Faber-Krahn inequality
  • S-number
  • Schatten p-norm

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Isoperimetric inequalities for the heat potential operator'. Together they form a unique fingerprint.

Cite this