Régularité du temps local brownien dans les espaces de Besov-Orlicz

Boufoussi, B.

Boufoussi, B.

Studia Mathematica, Tome 119 (1996), p. 145-156 / Harvested from The Polish Digital Mathematics Library

Résumé

Let $(B_{t}, t \geq 0)$ be a linear Brownian motion and (L(t,x), t > 0, x ∈ ℝ) its local time. We prove that for all t > 0, the process (L(t,x), x ∈ [0,1]) belongs almost surely to the Besov-Orlicz space $B_{M_{1}, \infty}^{1 / 2}$ with $M_{1} (x) = e^{| x |} - 1$ .

Publié le : 1996-01-01

Zbl 0856.60077

EUDML-ID : urn:eudml:doc:216269

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     author = {B. Boufoussi},
     title = {R\'egularit\'e du temps local brownien dans les espaces de Besov-Orlicz},
     journal = {Studia Mathematica},
     volume = {119},
     year = {1996},
     pages = {145-156},
     zbl = {0856.60077},
     language = {fra},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv118i2p145bwm}
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Boufoussi, B. Régularité du temps local brownien dans les espaces de Besov-Orlicz. Studia Mathematica, Tome 119 (1996) pp. 145-156. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv118i2p145bwm/

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