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On the spectra of some integral operators related to the potential theory in the plane

✍ Scribed by Oleg F. Gerus; Vladimir N. Kutrunov; Michael Shapiro

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
124 KB
Volume
33
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by W. Sprâßig

We study point spectra of the two integral operators that are generated by the boundary values of the simple-layer potential and of the integral tightly related to the double-layer potential; the operators act on the Hâlder space H l (C), l ∈ (0, 1), and on the Lebesgue space L p (C), p>2, where C is a closed Lyapunov curve.

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