Geodesic
Integral operator of potential type for infinitely differentiable functions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 4, pp. 464-469

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In this paper, we prove the infinite differentiability of an integral operator of the potential type for an infinitely differentiable function defined on the boundary of a bounded domain with the boundary of the class $\mathcal{C}^\infty$ up to the boundary of the domain on both sides.
Keywords: the differentiability of an integral operator of the potential type 
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     title = {Integral operator of potential type for infinitely differentiable functions},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {464--469},
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     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2024_17_4_a3/}
}
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Simona G. Myslivets. Integral operator of potential type for infinitely differentiable functions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 4, pp. 464-469. http://geodesic.mathdoc.fr/item/JSFU_2024_17_4_a3/