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Equivalence between Pólya–Szegő and relative capacity inequalities under rearrangement

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Van Schaftingen, Jean

The transformations of functions acting on sublevel sets that satisfy a Pólya-Szegő inequality are characterized as those being induced by transformations of sets that do not increase the associated capacity.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès libre
Publication date 2014
Language Anglais
Journal information "Archiv der Mathematik" - Vol. 103, no.4, p. 367−379 (2014)
Peer reviewed yes
Publisher Birkhaeuser Verlag AG (Basel)
issn 0003-889X
e-issn 1420-8938
Publication status Publié
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
Links
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Bibliographic reference Van Schaftingen, Jean. Equivalence between Pólya–Szegő and relative capacity inequalities under rearrangement. In: Archiv der Mathematik, Vol. 103, no.4, p. 367−379 (2014)
Permanent URL http://hdl.handle.net/2078.1/152136