Research output: Contribution to journal › Article › peer-review
In this note we prove that the ball is a maximiser for integer order Schatten p-norms of the Riesz potential operators among all domains of a given measure in Rd. In particular, the result is valid for the polyharmonic Newton potential operator, which is related to a nonlocal boundary value problem for the poly-Laplacian extending the one considered by M. Kac in the case of the Laplacian, so we obtain isoperimetric inequalities for its eigenvalues as well, namely, analogues of Rayleigh-Faber-Krahn and Hong-Krahn-Szegö inequalities.
Original language | English |
---|---|
Pages (from-to) | 224-239 |
Number of pages | 16 |
Journal | Journal of Functional Analysis |
Volume | 271 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jul 2016 |
ID: 50650350