Sharp estimates for conditionally centered moments and for compact operators on LP spaces

Research output: Contribution to journal › Research article › Contributed › peer-review

Contributors

  • Eugene Shargorodsky - , Chair of Probability Theory, King's College London (KCL), TUD Dresden University of Technology (Author)
  • Teo Sharia - , Royal Holloway University of London (Author)

Abstract

Let (Formula presented.) be a probability space, ξ be a random variable on (Formula presented.), (Formula presented.) be a sub-σ-algebra of (Formula presented.), and let (Formula presented.) be the corresponding conditional expectation operator. We obtain sharp estimates for the moments of (Formula presented.) in terms of the moments of ξ. This allows us to find the optimal constant in the bounded compact approximation property of (Formula presented.), (Formula presented.).

Details

Original languageEnglish
Pages (from-to)368-381
Number of pages14
JournalMathematische Nachrichten
Volume296(2023)
Issue number1
Publication statusPublished - 18 Dec 2022
Peer-reviewedYes

Keywords

ASJC Scopus subject areas

Keywords

  • bounded compact approximation property, conditionally centred moments, sharp estimates