We study limiting trace inequalities in the style of Maz’ya and Meyers–Ziemer for Sobolev martingales. We develop the Bellman function approach to such estimates, which allows to provide sufficient and almost necessary conditions on the martingale space and the martingale transform under which the trace inequalities hold true.
Original languageEnglish
Pages (from-to) 281–312
Number of pages32
JournalRevista Matematica Iberoamericana
Volume41
Issue number1
DOIs
StatePublished - 15 Jan 2025

    Research areas

  • Bellman function, martingale inequalities, trace theorem

ID: 134719813