@inbook{f21868f60d1745e5acca1dd06f142808,
title = "Applications to singular integral equations",
abstract = "We give an application of the weighted results obtained in Theorem 2.45 with power weights to the theory of Fredholm solvability of singular integral equations (10.1) with piecewise continuous coefficients. As is well known to researches in this field, to investigate such equations in a specific function space, it is important to know precise necessary and sufficient conditions for a weighted singular operator to be bounded in that space.",
keywords = "Compact operator, Essential spectrum, Singular integral equation, Singular integral operator, Weighted space",
author = "Vakhtang Kokilashvili and Alexander Meskhi and Humberto Rafeiro and Stefan Samko",
note = "Funding Information: We thank all SMA staff members for their diligent work in completing the SMA. J. L. and Y.-N. S. thank the National Science Council of Taiwan for support of this work through grant NSC 92-2112-M-001-032. H. B. acknowledges financial support by the Emmy-Noether-Program of the Deutsche For-schungsgemeinschaft (DFG, grant BE2578/1). Funding Information: 1Institute of Astronomy and Astrophysics Academia Sinica, P.O. Box 23-141, Taipei 106, Taiwan. 2Institute of Astronomy, National Central University, 300 Jungda Road, Jungli City, Taoyuan 320, Taiwan. 3Institute of Astronomy and Astrophysics Academia Sinica, 645 North A{\textquoteright}ohoku Place, Hilo, HI 96720. 4Harvard-Smithsonian Center for Astrophysics, 60 Garden Street, Cambridge, MA 02138. 5The Submillimeter Array is a joint project between the Smithsonian Astrophysical Observatory and the Academia Sinica Institute of Astronomy and Astrophysics, and is funded by the Smithsonian Institution and the Academia Sinica. Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016.",
year = "2016",
doi = "10.1007/978-3-319-21015-5_10",
language = "English",
series = "Operator Theory: Advances and Applications",
publisher = "Springer International Publishing",
pages = "467--528",
booktitle = "Operator Theory",
}