Abstract
One of the great challenges of the spectral theory of singular integral operators is a theory unifying the three "forces" which determine the local spectra: the oscillation of the Carleson curve, the oscillation of the Muckenhoupt weight, and the oscillation of the coefficients. In this paper we demonstrate how by employing the method of limit operators one can describe the spectra in case all data of the operator (the curve, the weight, and the coefficients) are slowly oscillating.
| Original language | English |
|---|---|
| Pages (from-to) | 171-198 |
| Number of pages | 28 |
| Journal | Journal of Operator Theory |
| Volume | 43 |
| Issue number | 1 |
| State | Published - 1998 |
| Externally published | Yes |
Keywords
- Pseudodifferential operator
- Singular integral
- Slow oscillation
- Toeplitz operator