Minimal thinness with respect to symmetric Lévy processes (Q2822720)
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scientific article; zbMATH DE number 6632603
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal thinness with respect to symmetric Lévy processes |
scientific article; zbMATH DE number 6632603 |
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Minimal thinness with respect to symmetric Lévy processes (English)
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4 October 2016
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minimal thinness
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symmetric Lévy process
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unimodal Lévy process
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boundary Harnack principle
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Green function
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quasi-additivity
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Martin kernel
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\textit{J. Lelong-Ferrand} [Ann. Sci. Éc. Norm. Supér., III. Sér. 66, 125--159 (1949; Zbl 0033.37301)] and \textit{L. Naïm} [Ann. Inst. Fourier 7, 183--281 (1957; Zbl 0086.30603)] have introduced the notion of minimal thinness. Furthermore, Lelong-Ferrand [loc. cit.] provided a Wiener-type criterion for minimal thinness of a subset of the half-space.NEWLINENEWLINE In the present paper, the authors generalize their previous results [Ann. Inst. Fourier 62, No. 3, 1045--1080 (2012; Zbl 1273.60096)] on the minimal thinness for a subordinate Brownian motion in the half-space.
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