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

Albrecht Böttcher; Ilya M. Spitkovsky

Revista Matemática Iberoamericana (1993)

- Volume: 9, Issue: 2, page 257-279
- ISSN: 0213-2230

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topBöttcher, Albrecht, and Spitkovsky, Ilya M.. "Wiener-Hopf integral operators with PC symbols on spaces with Muckenhoupt weight.." Revista Matemática Iberoamericana 9.2 (1993): 257-279. <http://eudml.org/doc/39437>.

@article{Böttcher1993,

abstract = {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.},

author = {Böttcher, Albrecht, Spitkovsky, Ilya M.},

journal = {Revista Matemática Iberoamericana},

keywords = {Espacios LP; Operadores integrales; Espacios de Banach; Operadores de Fredholm; singular integral operator; Wiener-Hopf integral operator; essential spectrum},

language = {eng},

number = {2},

pages = {257-279},

title = {Wiener-Hopf integral operators with PC symbols on spaces with Muckenhoupt weight.},

url = {http://eudml.org/doc/39437},

volume = {9},

year = {1993},

}

TY - JOUR

AU - Böttcher, Albrecht

AU - Spitkovsky, Ilya M.

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

JO - Revista Matemática Iberoamericana

PY - 1993

VL - 9

IS - 2

SP - 257

EP - 279

AB - 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.

LA - eng

KW - Espacios LP; Operadores integrales; Espacios de Banach; Operadores de Fredholm; singular integral operator; Wiener-Hopf integral operator; essential spectrum

UR - http://eudml.org/doc/39437

ER -

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