Geodesic
Brezis--Marcus type inequalities with Lamb constant
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 449-464

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Hardy-type inequalities with an additional term are proved for compactly supported smooth functions on open convex sets in the Euclidean space. We obtain one-dimensional $L_p$-inequalities and their multidimensional analogs on arbitrary domains, on regular sets, on domains with $\theta$-cone condition and on convex domains. We use Bessel's function and the Lamb constant.
Keywords: Hardy inequality, additional term, Bessel function, distance function, inner radius.
Mots-clés : Lamb constant 
@article{SEMR_2019_16_a131,
     author = {R. G. Nasibullin},
     title = {Brezis--Marcus type inequalities with {Lamb} constant},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {449--464},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a131/}
}
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R. G. Nasibullin. Brezis--Marcus type inequalities with Lamb constant. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 449-464. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a131/