S. Litvinov

activity

20062025

most citedPointwise ergodic theorems in symmetric spaces of measurable functions

6 citations · 8 across the 6 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.FA2017

Validity space of Dunford-Schwartz pointwise ergodic theorem

Vladimir Chilin, Semyon Litvinov

We show that if a $σ -$ finite infinite measure space $(Ω, μ)$ is quasi-non-atomic, then the Dunford-Schwartz pointwise ergodic theorem holds for $f\in \mathcal L^1(Ω)+\mathcal L^{\in…

math.FA2017

The validity space of Dunford-Schwartz ergodic theorem for infinite measure

Vladimir Chilin, Semyon Litvinov

We show that if $(Ω, μ)$ is an infinite measure space, the pointwise Dunford-Shwartz ergodic theorem holds for $f \in L^{1} (Ω) + L^{\infty} (Ω)$ if and only if $μ\{f>λ\}<…