A Characterization of Vitali Conditions in Terms of Maximal Inequalities
Work
Year: 1980
Type: article
Abstract: Vitali conditions $V, V', V_p, 1 \leqslant p < \infty$, on $\sigma$-algebras indexed by a directed set, are shown to hold if and only if the maximal inequality \begin{equation*}\tag{1} P(\text{essenti... more
Source: The Annals of Probability
Authors Annie Millet, Louis Sucheston
Cites: 13
Cited by: 8
Related to: 10
FWCI: 2.647
Citation percentile (by year/subfield): 56.71
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Sustainable Development Goal Reduced inequalities
Open Access status: bronze