Potential Spaces and Traces of Lévy Processes on h-sets
نویسنده
چکیده
Potential spaces and Dirichlet forms associated with Lévy processes subordinate to Brownian motion in R with generator f(−Δ) are investigated. Estimates for the related Rieszand Bessel-type kernels of order s are derived which include the classical case f(r) = r with 0 < α < 2 corresponding to α-stable Lévy processes. For general (tame) Bernstein functions f potential representations of the trace spaces, the trace Dirichlet forms, and the trace processes on fractal h-sets are derived. Here we suppose the trace condition ∫ 1 0 r −(n+1)f(r−2)−1h(r) dr < ∞ on f and the gauge function h. MSC2000 numbers : 60J45, 28A80, 60G51 DOI: 10.3103/S1068362309020071
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