Wiener-Hopf integral operators with PC symbols on spaces with Muckenhoupt weight.

Autores: I. M. Spitkovsky, Albrecht Böttcher
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 9, Nº 2, 1993, págs. 257-280
Idioma: inglés
DOI: 10.4171/rmi/136
Títulos paralelos:
- Operadores integrales de Wiener-Hopf con símbolos PC sobre espacios con peso Muckenhoupt.
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Resumen
- We describe the spectrum and the essential spectrum and give an index formula for Wiener-Hopf integral operators with piecewise continuous symbols on the space Lp(R+,?) with a Muckenhoupt weight ?. Our main result says that the essential spectrum is a set resulting from the essential range of the symbol by joining the two endpoints of each jump by a certain sickle-shaped domain, whose shape is completely determined by the value of p and the behavior of the weight ? at the origin and at infinity.