ON COMPACTNESS OF SOME INTEGRAL OPERATORS WITH CAUCHY KERNELS
Vol 6 No 2 (2018), Статьи
Vol 6 No 2 (2018)

ON COMPACTNESS OF SOME INTEGRAL OPERATORS WITH CAUCHY KERNELS

Статьи
https://doi.org/10.36120/2587-3644.v6i2.117-123
Published December 20, 2018
Petru MOLOȘNIC
Universitatea Agrară din Moldova
Vasile NEAGU
Universitatea de Stat din Moldova

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Keywords

singular integral operator
compact operator
piecewise Lyapunov contour

How to Cite

MOLOȘNIC, P., & NEAGU, V. (2018). ON COMPACTNESS OF SOME INTEGRAL OPERATORS WITH CAUCHY KERNELS. Acta Et Commentationes Exact and Natural Sciences, 6(2), 117-123. https://doi.org/10.36120/2587-3644.v6i2.117-123
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Abstract

In this paper, it is proved that the integral operator S S *  is compact if the contour of integration
is of the Lyapunov type. An example is brought to show that this property of the operator S S *  becomes
false if the contour of integration has angular points.

https://doi.org/10.36120/2587-3644.v6i2.117-123
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