Geodesic
Estimates for differential operators of vector analysis involving $L^1$-norm
Journal of the European Mathematical Society, Tome 12 (2010) no. 1, pp. 221-240.

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

New Hardy and Sobolev type inequalities involving L1-norms of scalar and vector valued functions in Rn are obtained. The work is related to some problems stated in the recent paper by Bourgain and Brezis [BB2].
DOI : 10.4171/jems/195
Classification : 35-XX, 00-XX
Keywords: Newtonian potential, Hardy-type inequality, divergence free fields, div-curl inequalities 
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     author = {Vladimir G. Maz'ya},
     title = {Estimates for differential operators of vector analysis involving $L^1$-norm},
     journal = {Journal of the European Mathematical Society},
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     publisher = {mathdoc},
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     year = {2010},
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     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/195/}
}
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Vladimir G. Maz'ya. Estimates for differential operators of vector analysis involving $L^1$-norm. Journal of the European Mathematical Society, Tome 12 (2010) no. 1, pp. 221-240. doi : 10.4171/jems/195. http://geodesic.mathdoc.fr/articles/10.4171/jems/195/

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