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

Böttcher, 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 -