2017
Том 69
№ 9

All Issues

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

Plaksa S. A.

Full text (.pdf)


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.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 9, pp 1457-1471.

Citation Example: Plaksa S. A. Singular Integral Operators in Spaces of Oscillating Functions on a Rectifiable Curve // Ukr. Mat. Zh. - 2003. - 55, № 9. - pp. 1206-1217.

Full text