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

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
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