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Author: Vinogradova G.
Publisher: Springer Publishing Company
ISSN: 1072-3374
Source: Journal of Mathematical Sciences, Vol.126, Iss.6, 2005-04, pp. : 1574-1579
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Abstract
We consider algebras of singular integral operators with shift and piecewise Hölder coefficients in a Hölder weighted space on a Lyapunov contour. For this algebra, we construct the similarity isomorphism to the algebra of singular integral operators with piecewise Hölder coefficients in a Hölder space with “canonical” weight on the circle. We construct the symbol calculus, formulate necessary and sufficient conditions for the Fredholm property, and give the formula for the index of Fredholm operators.
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