On some properties of a Riesz potential in grand-Lebesgue and grand-Sobolev spaces

Kasumov, Z.; Akhmedzade, N.

doi:10.1090/mosc/333

On some properties of a Riesz potential in grand-Lebesgue and grand-Sobolev spaces
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by Z. A. Kasumov and N. R. Akhmedzade;
Translated by: Christopher Hollings

Trans. Moscow Math. Soc. 2022, 67-74

DOI: https://doi.org/10.1090/mosc/333

Published electronically: September 23, 2024

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Abstract:

This article considers a Riesz-type potential in non-standard grand-Lebesgue and grand-Sobolev spaces. The classical facts concerning Lebesgue and Sobolev spaces carry over to this case. The established properties play an important role in studying the solvability of boundary value problems for an elliptic-type equation in grand-Sobolev spaces.

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