Geodesic
A Hardy type inequality for $W^{m,1}_0(\Omega)$ functions
Journal of the European Mathematical Society, Tome 15 (2013) no. 1, pp. 145-155

Voir la notice de l'article provenant de la source EMS Press

We consider functions u∈W0m,1​(Ω), where Ω⊂RN is a smooth bounded domain, and m≥2 is an integer. For all j≥0, 1≤k≤m−1, such that 1≤j+k≤m, we prove that d(x)m−j−k∂ju(x)​∈W0k,1​(Ω) with
DOI : 10.4171/jems/357
Classification : 26-XX, 46-XX, 00-XX
Keywords: Hardy inequality, Sobolev spaces 
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     title = {A {Hardy} type inequality for $W^{m,1}_0(\Omega)$ functions},
     journal = {Journal of the European Mathematical Society},
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Hernán Castro; Juan Dávila; Hui Wang. A Hardy type inequality for $W^{m,1}_0(\Omega)$ functions. Journal of the European Mathematical Society, Tome 15 (2013) no. 1, pp. 145-155. doi: 10.4171/jems/357

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