Relative rearrangement and interpolation inequalities.
Rakotoson, J. Michel
RACSAM, Tome 97 (2003), p. 133-145 / Harvested from Biblioteca Digital de Matemáticas
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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.

Mostramos que las desigualdades puntuales de Poincaré-Sobolev para el reordenarniento relativo pueden ser consideradas como el origen de bastantes desigualdades sobre varios conjuntos que que no necesitan ser espacios vectoriales. En concreto, es posible obtener nuevas desigualdades de interpolación.

Publié le : 2003-01-01
DMLE-ID : 3532 
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     title = {Relative rearrangement and interpolation inequalities.},
     journal = {RACSAM},
     volume = {97},
     year = {2003},
     pages = {133-145},
     mrnumber = {MR2037231},
     zbl = {1085.26010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40965}
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Rakotoson, J. Michel. Relative rearrangement and interpolation inequalities.. RACSAM, Tome 97 (2003) pp. 133-145. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40965/