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On the Fredholm radius of integral operators of potential theory

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Abstract

The Fredholm radius of the integral operators of the theory of n-dimensional harmonic potentials on surfaces with edges, acting in certain weighted Hölder type spaces, is found. Results for integral operators are derived from theorems on operators in certain auxiliary contact problems.

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Translated from Problemy Matematicheskogo Analiza, No. 11, pp. 109–133, 1990.

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Grachev, N.V., Maz'ya, V.G. On the Fredholm radius of integral operators of potential theory. J Math Sci 64, 1297–1313 (1993). https://doi.org/10.1007/BF01098022

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