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

Eugene Shargorodsky, Teo Sharia*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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.).

Original languageEnglish
Pages (from-to)368-381
Number of pages14
JournalMathematische Nachrichten
Volume296
Issue number1
DOIs
Publication statusPublished - Jan 2023

Keywords

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

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