The Banach algebra generated by one-dimensional linear singular integral operators with matrix valued piecewise continuous coefficients in the space Lp(Γ,ρ) with an arbitrary weight ρ is studied. The contour Γ consists of a finite number of closed curves and open arcs with satisfy the Carleson condition. The contour may have a finite number of points of selfintersection. The symbol calculus in this algebra is the main result of the paper.
- MSC 1991: Primary 47A53, Secondary 45F15, 47B38, 47C10, 47D30
ASJC Scopus subject areas
- Algebra and Number Theory