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Explicit approximation of the symmetric rearrangement by polarizations

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Van Schaftingen, Jean [UCL]

We give an explicit sequence of polarizations such that for every measurable function, the sequence of iterated polarizations converge to the symmetric rearrangement of the initial function.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2009
Language Anglais
Journal information "Archiv der Mathematik" - Vol. 93, no. 2, p. 181-190 (2009)
Peer reviewed yes
Publisher Birkhauser Verlag Ag (Basel)
issn 0003-889X
e-issn 1420-8938
Publication status Publié
Affiliation UCL - SC/MATH - Département de mathématique
Keywords Symmetric rearrangement ; Schwarz symmetrization ; Polarization ; Two-point rearrangement ; Polya-Szego inequality ; Approximation of symmetrization ; Steiner symmetrization ; Foliated Schwarz symmetrization ; Spherical cap rearrangement ; Discrete rearrangement
Links
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Bibliographic reference Van Schaftingen, Jean. Explicit approximation of the symmetric rearrangement by polarizations. In: Archiv der Mathematik, Vol. 93, no. 2, p. 181-190 (2009)
Permanent URL http://hdl.handle.net/2078.1/35391