We find the best possible constant C in the inequality [Formula presented], where 2⩽r and p<r. We employ the Bellman function technique to solve this problem in the case of an interval and then transfer our results to the circle and the line.

Original languageEnglish
Article number124479
JournalJournal of Mathematical Analysis and Applications
Volume492
Issue number2
DOIs
StatePublished - 15 Dec 2020

    Research areas

  • Bellman function, Bounded mean oscillation, Interpolation

    Scopus subject areas

  • Analysis
  • Applied Mathematics

ID: 75214673