Título inglés |
Wiener-Hopf integral operators with PC symbols on spaces with Muckenhoupt weight. |
Título español |
Operadores integrales de Wiener-Hopf con símbolos PC sobre espacios con peso Muckenhoupt. |
Autor/es |
Böttcher, Albrecht ; Spitkovsky, Ilya M. |
Organización |
Fachb. Math. Tech. Univ. Chemnitz, Chemnitz, Alemania;Dep. Math. Coll. Willian and Mary, Williamsburg (Virginia), Estados Unidos |
Revista |
0213-2230 |
Publicación |
1993, 9 (2): 257-279, 16 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
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+,ω) with a Muckenhoupt weight ω. 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 ω at the origin and at infinity. |
Clasificación UNESCO |
120201 |
Palabras clave español |
Espacios LP ; Operadores integrales ; Espacios de Banach ; Operadores de Fredholm |
Código MathReviews |
MR1232843 |
Código Z-Math |
Zbl 0779.45002 |
Acceso al artículo completo |