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Sharp Sobolev Inequalities via Projection Averages

A family of sharp [Formula: see text] Sobolev inequalities is established by averaging the length of i-dimensional projections of the gradient of a function. Moreover, it is shown that each of these new inequalities directly implies the classical [Formula: see text]  Sobolev inequality of Aubin and...

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Detalles Bibliográficos
Autores principales: Kniefacz, Philipp, Schuster, Franz E.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8549948/
https://www.ncbi.nlm.nih.gov/pubmed/34720562
http://dx.doi.org/10.1007/s12220-020-00544-6

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