On some properties of a Riesz potential in grand-Lebesgue and grand-Sobolev spaces
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.
Authors
- Z. A. Kasumov
- N. Akhmedzade
Institutions
- Azerbaijan National Academy of Sciences (AZ)
- Institute of Mathematics and Mechanics (AZ)
Publication Details
- Journal
- Transactions of the Moscow Mathematical Society
- Published
- 2024-09-16
- DOI
- https://doi.org/10.1090/mosc/333
- Primary Topic
- Advanced Harmonic Analysis Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00