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math.AP2017
Extension and trace for nonlocal operators
Krzysztof Bogdan, Tomasz Grzywny, Katarzyna Pietruska-Pałuba +1
We prove an optimal extension and trace theorem for Sobolev spaces of nonlocal operators. The extension is given by a suitable Poisson integral and solves the corresponding nonloca…
math.AP2017
The Dirichlet problem for nonlocal Lévy-type operators
Artur Rutkowski
We present the theory of the Dirichlet problem for nonlocal operators which are the generators of general pure-jump symmetric Lévy processes whose Lévy measures need not be absolut…