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Universal approximation of symmetrizations by polarizations

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Van Schaftingen, Jean [UCL]

Any symmetrization (Schwarz, Steiner, cap or increasing rearrangement) can be approximated by a universal sequence of polarizations which converges in L-p norm for any admissible function in Lp for 1 <= p < +infinity and uniformly for admissible continuous functions. A new Polya-Szego inequality is proved for the increasing rearrangement.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès libre
Publication date 2006
Language Anglais
Journal information "American Mathematical Society. Proceedings" - Vol. 134, no. 1, p. 177-186 (2006)
Peer reviewed yes
Publisher Amer Mathematical Soc (Providence)
issn 0002-9939
Publication status Publié
Affiliation UCL - SC/MATH - Département de mathématique
Links
Bibliographic reference Van Schaftingen, Jean. Universal approximation of symmetrizations by polarizations. In: American Mathematical Society. Proceedings, Vol. 134, no. 1, p. 177-186 (2006)
Permanent URL http://hdl.handle.net/2078.1/39089