DOI

The classical Hanner inequalities are obtained by the Bellman function method. These inequalities give sharp estimates for the moduli of convexity of Lebesgue spaces, initially due to Clarkson and Beurling. Easy ideas from differential geometry make it possible to find the Bellman function by using neither "magic guesses" nor bulky calculations.

Original languageEnglish
Pages (from-to)333-343
JournalSt. Petersburg Mathematical Journal
Volume27
Issue number2
DOIs
StatePublished - 1 Jan 2016

    Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

    Research areas

  • Bellman function, Torsion, Uniform convexity

ID: 35958987