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

• Autorzy: Jakub Olejnik
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 28A99: None of the above, but in this section
• 40A30: Convergence and divergence of series and sequences of functions
• 60G07: General theory of processes
• 60G17: Sample path properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2010
• Tom: 197
• Numer: 1
• Strony: 1-12

Daty

wydano

2010

Twórcy

autor

Jakub Olejnik

• Faculty of Mathematics and Computer Science, University of Łódź, Banacha 22, 90-238 Łódź, Poland

Identyfikatory

DOI

10.4064/sm197-1-1