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math.FA2015
Hardy-Stein identities and square functions for semigroups
Rodrigo Bañuelos, Krzysztof Bogdan, Tomasz Luks
We prove a Hardy-Stein type identity for the semigroups of symmetric, pure-jump Lévy processes. Combined with the Burkholder-Gundy inequalities, it gives the two-way boundedn…
math.PR2015
On the double points of operator stable Lévy processes
Tomasz Luks, Yimin Xiao
We determine the Hausdorff dimension of the set of double points for a symmetric operator stable Lévy process in terms of the eigenvalues of its stability exponent.