From the theorems of Morse, Sard, Dubovitskiĭ and Federer to the Luzin N-property: the story so far Full article
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Pure and Applied Functional Analysis
ISSN: 2189-3756 , E-ISSN: 2189-3764 |
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| Output data | Year: 2024, Volume: 9, Number: 2, Pages: 441-467 Pages count : 17 | ||||||||
| Tags | Morse-Sard Theorem, Hausdorff measure, Bessel potential spaces, Holder mappings, Sobolev spaces, Luzin N-property | ||||||||
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Abstract:
In this survey we demonstrate the universal synthesis of all the above mentioned analytic phenomena for continuous mappings of Hölder and Sobolev classes. This concludes the long time research started with our previousu joint papers with jean Bourgain (2013, 2015).
Cite:
Ferone A.
, Korobkov M.V.
, Kristensen J.
From the theorems of Morse, Sard, Dubovitskiĭ and Federer to the Luzin N-property: the story so far
Pure and Applied Functional Analysis. 2024. V.9. N2. P.441-467.
From the theorems of Morse, Sard, Dubovitskiĭ and Federer to the Luzin N-property: the story so far
Pure and Applied Functional Analysis. 2024. V.9. N2. P.441-467.
Dates:
| Submitted: | Feb 9, 2023 |
| Accepted: | May 17, 2023 |
| Published print: | May 28, 2024 |
| Published online: | May 28, 2024 |
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