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}, mrnumber = {2077234}, zbl = {1077.60025}, language = {en}, url = {www.numdam.org/item/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. http://www.numdam.org/item/AMBP_2004__11_1_1_0/
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