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math.AP2017
Fractional Laplacian with Hardy potential
Krzysztof Bogdan, Tomasz Grzywny, Tomasz Jakubowski +1
We give sharp two-sided estimates of the semigroup generated by the fractional Laplacian plus the Hardy potential on , including the case of the critical constant. We…
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…