FREDHOLM THEORY FOR A CLASS OF SINGULAR INTEGRAL-OPERATORS WITH CARLEMAN SHIFT AND UNBOUNDED COEFFICIENTS

Authors
KRAVCHENKO VG LEBRE AB LITVINCHUK GS TEIXEIRA FS
Citation
Vg. Kravchenko et al., FREDHOLM THEORY FOR A CLASS OF SINGULAR INTEGRAL-OPERATORS WITH CARLEMAN SHIFT AND UNBOUNDED COEFFICIENTS, Mathematische Nachrichten, 172, 1995, pp. 199-210
Citations number
18
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
172
Year of publication
1995
Pages
199 - 210
Database
ISI
SICI code
0025-584X(1995)172:<199:FTFACO>2.0.ZU;2-C
Abstract
A criterion for the Fredholmness of singular integral operators with C arleman shift in L(p)(GAMMA) is obtained, where GAMMA is either the un it circle or the real line. The approach allows to consider unbounded coefficients in a class related to that of quasicontinuous functions. Applications to Wiener-Hopf-Hankel type operators and operators with l inear fractional Carleman shift on R are included.