Green function estimates for relativistic stable processes in half-space-like open sets
نویسندگان
چکیده
منابع مشابه
Green Function Estimates for Relativistic Stable Processes in Half-space-like Open Sets
In this paper, we establish sharp two-sided estimates for the Green functions of relativistic stable processes (i.e. Green functions for non-local operators m− (m2/α−∆)α/2) in half-spacelike C open sets. The estimates are uniform in m ∈ (0,M ] for each fixed M ∈ (0,∞). When m ↓ 0, our estimates reduce to the sharp Green function estimates for −(−∆)α/2 in such kind of open sets that were obtaine...
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2011
ISSN: 0304-4149
DOI: 10.1016/j.spa.2011.01.004