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On the local time of multiparameter symmmetric stable processes. Regularity and limit theorem in Besov spaces

Boufoussi B., Dozzi M.

Probability and Mathematical Statistics

2003

Vol. 23, Fasc. 2

369--387

Let X = (Xz, z ϵ TN = [0, l]N) be a symmetric α-stable process, 1 < α ≤ 2. Based on a Kolmogorov type continuity theorem we show Hölder conditions in Lp-norms for the local time of X with respect to the space and time variables, by distinguishing the cases where the time variables do or do not meet the axes. Weak convergence of the occupation integral is proved.