ORCID: https://orcid.org/0000-0001-7973-4688; Merz, Konstantin and Siedentop, Heinz
(2021):
Equivalence of Sobolev Norms Involving Generalized Hardy Operators.
In: International Mathematics Research Notices, Vol. 2021, No. 3: pp. 2284-2303
Abstract
We consider the fractional Schrodinger operator with Hardy potential and critical or subcritical coupling constant. This operator generates a natural scale of homogeneous Sobolev spaces, which we compare with the ordinary homogeneous Sobolev spaces. As a byproduct, we obtain generalized and reversed Hardy inequalities for this operator. Our results extend those obtained recently for ordinary (non-fractional) Schrodinger operators and have an important application in the treatment of large relativistic atoms.
Item Type: | Journal article |
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Faculties: | Mathematics, Computer Science and Statistics > Mathematics > Analysis, Mathematical Physics and Numerics |
Subjects: | 500 Science > 510 Mathematics |
ISSN: | 1073-7928 |
Language: | English |
Item ID: | 98170 |
Date Deposited: | 05. Jun 2023, 15:28 |
Last Modified: | 13. Aug 2024, 12:46 |