The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three dimensional upper half-space
2008 (English)In: Mathematical Research Letters, ISSN 1073-2780, Vol. 15, no 4, 613-622 p.Article in journal (Refereed) Published
It is shown that the sharp constant in the Hardy-Sobolev-Maz'ya inequality on the upper half space H-3 subset of R-3 is given by the Sobolev constant. This is achieved by a duality argument relating the problem to a Hardy-Littlewood-Sobolev type inequality whose sharp constant is determined as well.
Place, publisher, year, edition, pages
2008. Vol. 15, no 4, 613-622 p.
IdentifiersURN: urn:nbn:se:kth:diva-33082ISI: 000259558600001ScopusID: 2-s2.0-53549091892OAI: oai:DiVA.org:kth-33082DiVA: diva2:418995
QC 201105252011-05-252011-04-282011-05-25Bibliographically approved