The Berezin inequality on domains of infinite measure
Tóm tắt
The Berezin inequality gives an upper bound on the Riesz means of the magnetic Schrödinger operator on a set of finite volume. We find an analogous inequality for the magnetic operator with homogeneous magnetic field on sets whose complement in
$$\mathbb{R }^2$$
has finite measure. Similar bounds are obtained for the Heisenberg sub-Laplacian.
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