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http://dx.doi.org/10.7468/jksmeb.2020.27.1.1

FURTHER RESULTS INVOLVING THE HILBERT SPACE L2a,b[0, T]  

Choi, Jae Gil (School of General Education, Dankook University)
Skoug, David (Department of Mathematics, University of Nebraska-Lincoln)
Publication Information
The Pure and Applied Mathematics / v.27, no.1, 2020 , pp. 1-11 More about this Journal
Abstract
In this paper we determine conditions which a function a(t) must satisfy to insure that the function a'(t) is an element of the separable Hilbert space L2a,b[0, T]. We then proceed to illustrate our results with several pertinent examples and counter-examples.
Keywords
generalized Brownian motion process; separable Hilbert space; total variation function; Wiener space;
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