Document Type
Article
Publication Date
2011
Keywords
Modulation spaces, Wiener amalgam spaces, Besov spaces, Abstract Wiener spaces, Random Fourier series
Abstract
We study the local-in-time regularity of the Brownian motion with respect to localized variants of modulation spaces Msp,q and Wiener amalgam spaces Wsp,q. We show that the periodic Brownian motion belongs locally in time to Msp,q(T) and Wsp,q(T) for (s−1)q
Publication Title
Advances in Mathematics
Volume
228
Issue
5
First Page
2943
Last Page
2981
DOI
http://dx.doi.org/10.1016/j.aim.2011.07.023
Recommended Citation
Bényi, Árpád and Oh, Tadahiro, "Modulation Spaces, Wiener Amalgam Spaces, and Brownian Motions" (2011). Mathematics Faculty Publications. 47.
https://cedar.wwu.edu/math_facpubs/47
Subjects - Topical (LCSH)
Brownian motion processes; Stochastic differential equations; Fourier series
Genre/Form
articles
Type
Text
Rights
Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Language
English
Format
application/pdf
