| Abstract: |
| When the heat semigroup generated by the Laplacian is restricted to angular momentum channels, its decay improves with increasing angular momentum. I will discuss an analogous phenomenon for fractional Laplacians. The improvement is captured by channel-dependent Hardy inequalities and by effective radial heat kernels, which reflect the additional repulsion (killing) induced by the angular momentum (oscillations).
This is joint work with Konstantin Merz and Tomasz Jakubowski. A preprint is available on arXiv:
https://arxiv.org/search/?searchtype=author&query=Bogdan%2C+K |
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