Abstract.
For the singular integral operators with Carleman shift, preserving or changing orientation, and piecewise continuous coefficients we prove the theorem on Fredholmness and obtain the formula for index in the generalized Hölder spaces \(H^{\omega}_0(\Gamma,\rho)\) defined by an arbitrary continuity modulus ω from the Bari-Stechkin class and some general weights on a closed or open finite Lyapunov curve Γ.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Samko, N. Singular Integral Operators with Carleman Shift and Discontinuous Coefficients in the Spaces \(H^{\omega}_0(\Gamma,\rho)\). Integr. equ. oper. theory 51, 417–433 (2005). https://doi.org/10.1007/s00020-003-1257-5
Issue Date:
DOI: https://doi.org/10.1007/s00020-003-1257-5