Timeline for Inequality involving the fractional Laplacian
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 22, 2021 at 20:31 | vote | accept | Guilherme | ||
| Sep 22, 2021 at 11:52 | comment | added | Mateusz Kwaśnicki | Well, the Markov property follows directly from $$\langle f, (-\Delta)^{s/2} f\rangle = \frac12 \int_{-\pi}^\pi \int_{-\pi}^\pi (f(y) - f(x)) \nu(y - x) dy dx.$$ And this is essentially one of the properties of a bilinear form required to call it a Dirichlet form. And yes, $\langle\cdot,\cdot\rangle$ is the $L^2$ inner product. | |
| Sep 22, 2021 at 11:44 | comment | added | Guilherme | Nice answer! The $\langle \cdot, \cdot \rangle$ is the $L^2$-inner product? Do you have some reference of the 'Markov Property'? | |
| Sep 22, 2021 at 11:41 | history | answered | Mateusz Kwaśnicki | CC BY-SA 4.0 |