Geodesic
A Sobolev Interpolation Inequality
Matematičeskie zametki, Tome 107 (2020) no. 6, pp. 894-901

Voir la notice de l'article provenant de la source Math-Net.Ru

A sharp integral inequality is proved and used to obtain a Sobolev interpolation inequality. Further, a new proof of a Gross–Sobolev logarithmic inequality is constructed on the basis of the Sobolev interpolation inequality.
Keywords: Sobolev interpolation inequality, Hausdorff–Young inequality, Gross–Sobolev logarithmic inequality. 
@article{MZM_2020_107_6_a8,
     author = {Sh. M. Nasibov},
     title = {A {Sobolev} {Interpolation} {Inequality}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {894--901},
     publisher = {mathdoc},
     volume = {107},
     number = {6},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2020_107_6_a8/}
}
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Sh. M. Nasibov. A Sobolev Interpolation Inequality. Matematičeskie zametki, Tome 107 (2020) no. 6, pp. 894-901. http://geodesic.mathdoc.fr/item/MZM_2020_107_6_a8/