Research output: Contribution to Journal/Magazine › Journal article › peer-review
| <mark>Journal publication date</mark> | 15/07/2012 |
|---|---|
| <mark>Journal</mark> | Journal of Mathematical Analysis and Applications |
| Issue number | 2 |
| Volume | 391 |
| Number of pages | 6 |
| Pages (from-to) | 613-618 |
| Publication Status | Published |
| <mark>Original language</mark> | English |
Consider a linear spectral pencil of the form P(−i∇)− zQ(x), z ∈ C. If P−1 ∈ weak-Lp and
Q ∈ Lp for some 1 < p <∞, it is shown that the total number of eigenvalues with |z|<R
is bounded by C[||P−1||∗Lpw||Q||Lp R]p. An application is made to estimate the frequency with which zero modes of the Weyl–Dirac operator occur when the magnetic potential is scaled.