Geodesic
On the structure of Hardy–Sobolev–Maz'ya inequalities
Journal of the European Mathematical Society, Tome 11 (2009) no. 6, pp. 1165-1185 Cet article a éte moissonné depuis la source EMS Press

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We establish new improvements of the optimal Hardy inequality in the half-space. We first add all possible linear combinations of Hardy type terms, thus revealing the structure of this type of inequalities and obtaining best constants. We then add the critical Sobolev term and obtain necessary and sufficient conditions for the validity of Hardy–Sobolev–Maz’ya type inequalities.
DOI : 10.4171/jems/178
Classification : 35-XX, 00-XX
Keywords: 
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     author = {Stathis Filippas and Achilles Tertikas and Jesper Tidblom},
     title = {On the structure of {Hardy{\textendash}Sobolev{\textendash}Maz'ya} inequalities},
     journal = {Journal of the European Mathematical Society},
     pages = {1165--1185},
     year = {2009},
     volume = {11},
     number = {6},
     doi = {10.4171/jems/178},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/178/}
}
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Stathis Filippas; Achilles Tertikas; Jesper Tidblom. On the structure of Hardy–Sobolev–Maz'ya inequalities. Journal of the European Mathematical Society, Tome 11 (2009) no. 6, pp. 1165-1185. doi: 10.4171/jems/178

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