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Singular Integral Operators in Spaces of Oscillating Functions on a Rectifiable Curve

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Ukrainian Mathematical Journal Aims and scope

Abstract

We prove generalized Noether theorems for a singular integral equation with Cauchy kernel on a closed rectifiable Jordan curve in classes of piecewise-continuous functions with oscillation-type discontinuities. We obtain results concerning the normal solvability of operators associated with the equation and acting into a Banach space and incomplete normed spaces of piecewise-continuous oscillating functions.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    S. A. Plaksa

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  1. S. A. Plaksa
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Plaksa, S.A. Singular Integral Operators in Spaces of Oscillating Functions on a Rectifiable Curve. Ukrainian Mathematical Journal 55, 1457–1471 (2003). https://doi.org/10.1023/B:UKMA.0000018007.04762.eb

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  • DOI: https://doi.org/10.1023/B:UKMA.0000018007.04762.eb

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