Brezis-Marcus type inequalities with Lamb constant

摘要

Hardy-type inequalities with an additional term are provedfor compactly supported smooth functions on open convex sets in theEuclidean space. We obtain one-dimensional Lp-inequalities and theirmultidimensional analogs on arbitrary domains, on regular sets, ondomains with -cone condition and on convex domains. We use Bessel’sfunction and the Lamb constant.