Abstract
We prove that the expected Lebesgue measure of the range of an additive Levy process is positive if and only if the product $\Re([1+\Psi_1(\xi)]^{-1})...\Re([1+\Psi_N(\xi)]^{-1})$ is integrable. This was previously proved by Khoshnevisan, Xiao and Zhong [1] under a sector condition.
Citation
Ming Yang. "On a theorem in multi-parameter potential theory." Electron. Commun. Probab. 12 267 - 275, 2007. https://doi.org/10.1214/ECP.v12-1293
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