caa a22 4500 467931992 CHVBK 20180406152946.0 cr unu---uuuuu 170328e20061001xx s 000 0 eng 10.1007/s00020-005-1414-0 doi (NATIONALLICENCE)springer-10.1007/s00020-005-1414-0 Local Fredholm Spectra and Fredholm Properties of Singular Integral Operators on Carleson Curves Acting on Weighted Hölder Spaces [Elektronische Daten] [Vladimir Rabinovich, Natasha Samko, Stefan Samko] Abstract.: We study the local Fredholm spectra and global Fredholm properties for singular integral operators on composed Carleson curves with discontinuous coefficients acting on weighted Hölder spaces. We consider the curves, coefficients, and weights which are slowly oscillating at the nodes of the curve. Application of pseudodifferential operators technique allows us to explain the influence of oscillation of curves, coefficients, and weights on the appearance of massive local Fredholm spectra. We obtain a criterion of Fredholmness and index formula for operators under consideration. Birkhäuser Verlag, Basel, 2006 Rabinovich Vladimir Instituto Politecnico Nacional, ESIME ZACATENCO, Av. IPN, 07738, Mexico, D.F., Mexico aut Samko Natasha Campus de Gambelas, Universidade do Algarve, 8005, Faro, Portugal aut Samko Stefan Campus de Gambelas, Universidade do Algarve, 8005, Faro, Portugal aut Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhäuser.ch 56/2(2006-10-01), 257-283 0378-620X 56:2<257 2006 56 20 https://doi.org/10.1007/s00020-005-1414-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00020-005-1414-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Rabinovich Vladimir Instituto Politecnico Nacional, ESIME ZACATENCO, Av. IPN, 07738, Mexico, D.F., Mexico aut NATIONALLICENCE 700 1- Samko Natasha Campus de Gambelas, Universidade do Algarve, 8005, Faro, Portugal aut NATIONALLICENCE 700 1- Samko Stefan Campus de Gambelas, Universidade do Algarve, 8005, Faro, Portugal aut NATIONALLICENCE 773 0- Integral Equations and Operator Theory Birkhäuser-Verlag; www.birkhäuser.ch 56/2(2006-10-01), 257-283 0378-620X 56:2<257 2006 56 20 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer