Equivalence between Pólya–Szegő and relative capacity inequalities under rearrangement
نویسندگان
چکیده
منابع مشابه
Relative rearrangement and interpolation inequalities
We prove here that the Poincaré-Sobolev pointwise inequalities for the relative rearrangement can be considered as the root of a great number of inequalities in various sets not necessarily vector spaces. In particular, new interpolation inequalities can be derived. Reordenamiento relativo y desigualdades de interpolación Resumen. Mostramos que las desigualdades puntuales de Poincaré-Sobolev pa...
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Article history: Received 25 September 2008 Received in revised form 2 December 2008 Accepted 3 December 2008 Available online 7 December 2008 Communicated by P.R. Holland PACS: 03.67.-a 02.50.Le
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ژورنال
عنوان ژورنال: Archiv der Mathematik
سال: 2014
ISSN: 0003-889X,1420-8938
DOI: 10.1007/s00013-014-0695-4