Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896594 | Journal of Functional Analysis | 2018 | 52 Pages |
Abstract
We qualify a relevant range of fractional powers of the so-called Hamiltonian of point interaction in three dimensions, namely the singular perturbation of the negative Laplacian with a contact interaction supported at the origin. In particular we provide an explicit control of the domain of such a fractional operator and of its decomposition into regular and singular parts. We also qualify the norms of the resulting singular fractional Sobolev spaces and their mutual control with the corresponding classical Sobolev norms.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone,