Weak convergence to fractional Brownian motion in some anisotropic Besov space
Annales mathématiques Blaise Pascal, Tome 11 (2004) no. 1, pp. 1-17
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We give some limit theorems for the occupation times of 1-dimensional Brownian motion in some anisotropic Besov space. Our results generalize those obtained by Csaki et al. [4] in continuous functions space.
@article{AMBP_2004__11_1_1_0,
author = {Ait Ouahra, M.},
title = {Weak convergence to fractional {Brownian} motion in some anisotropic {Besov} space},
journal = {Annales math\'ematiques Blaise Pascal},
pages = {1--17},
publisher = {Annales math\'ematiques Blaise Pascal},
volume = {11},
number = {1},
year = {2004},
doi = {10.5802/ambp.181},
zbl = {1077.60025},
mrnumber = {2077234},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5802/ambp.181/}
}
TY - JOUR AU - Ait Ouahra, M. TI - Weak convergence to fractional Brownian motion in some anisotropic Besov space JO - Annales mathématiques Blaise Pascal PY - 2004 SP - 1 EP - 17 VL - 11 IS - 1 PB - Annales mathématiques Blaise Pascal UR - http://geodesic.mathdoc.fr/articles/10.5802/ambp.181/ DO - 10.5802/ambp.181 LA - en ID - AMBP_2004__11_1_1_0 ER -
%0 Journal Article %A Ait Ouahra, M. %T Weak convergence to fractional Brownian motion in some anisotropic Besov space %J Annales mathématiques Blaise Pascal %D 2004 %P 1-17 %V 11 %N 1 %I Annales mathématiques Blaise Pascal %U http://geodesic.mathdoc.fr/articles/10.5802/ambp.181/ %R 10.5802/ambp.181 %G en %F AMBP_2004__11_1_1_0
Ait Ouahra, M. Weak convergence to fractional Brownian motion in some anisotropic Besov space. Annales mathématiques Blaise Pascal, Tome 11 (2004) no. 1, pp. 1-17. doi: 10.5802/ambp.181
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