Full proof of Kwapień’s theorem on representing bounded mean zero functions on $[0,1]$

DOI10.4064/SM191129-31-8zbMath1472.46027arXiv1911.13006OpenAlexW3121793230MaRDI QIDQ4999950

A. F. Ber, Unnamed Author, Pheodor A. Sukochev

Publication date: 5 July 2021

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.13006

zbMATH Keywords

measure preserving transformationreal-valued mean zero functions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Measure-preserving transformations (28D05) Linear operators on function spaces (general) (47B38)

Related Items (2)

On possible estimates of the rate of pointwise convergence in the Birkhoff ergodic theorem ⋮ Existence and non-existence of solutions to the coboundary equation for measure-preserving systems

Cites Work

• Singular traces. Theory and applications
• Linear Functionals Invariant Under Measure Preserving Transformations
• Unnamed Item
• Unnamed Item

This page was built for publication: Full proof of Kwapień’s theorem on representing bounded mean zero functions on $[0,1]$