On a construction of majorizing measures on subsets of ℝⁿ with special metrics

Jakub Olejnik. "On a construction of majorizing measures on subsets of ℝⁿ with special metrics." Studia Mathematica 197.1 (2010): 1-12. <http://eudml.org/doc/286195>.

@article{JakubOlejnik2010,
abstract = {We consider processes Xₜ with values in $L_\{p\}(Ω,ℱ,P)$ 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.},
author = {Jakub Olejnik},
journal = {Studia Mathematica},
keywords = {processes with bounded increments; a.s. continuity of the process; majorizing measures; sample boundedness},
language = {eng},
number = {1},
pages = {1-12},
title = {On a construction of majorizing measures on subsets of ℝⁿ with special metrics},
url = {http://eudml.org/doc/286195},
volume = {197},
year = {2010},
}

TY - JOUR
AU - Jakub Olejnik
TI - On a construction of majorizing measures on subsets of ℝⁿ with special metrics
JO - Studia Mathematica
PY - 2010
VL - 197
IS - 1
SP - 1
EP - 12
AB - We consider processes Xₜ with values in $L_{p}(Ω,ℱ,P)$ 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.
LA - eng
KW - processes with bounded increments; a.s. continuity of the process; majorizing measures; sample boundedness
UR - http://eudml.org/doc/286195
ER -