We consider processes Xₜ with values in and “time” index t in a subset A of the unit cube. A natural condition of boundedness of increments is assumed. We give a full characterization of the domains A for which all such processes are a.e. continuous. We use the notion of Talagrand’s majorizing measure as well as geometrical Paszkiewicz-type characteristics of the set A. A majorizing measure is constructed.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm197-1-1,
author = {Jakub Olejnik},
title = {On a construction of majorizing measures on subsets of Rn with special metrics},
journal = {Studia Mathematica},
volume = {196},
year = {2010},
pages = {1-12},
zbl = {1196.60058},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm197-1-1}
}
Jakub Olejnik. On a construction of majorizing measures on subsets of ℝⁿ with special metrics. Studia Mathematica, Tome 196 (2010) pp. 1-12. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm197-1-1/