The Generalized-Gamma-Space G-Gamma(p,m,w) contains many classical rearrangement invariant spaces. Here we study its associate space and we estimate its associate norm. In particular, we characterize all optimal functions u achieving the associate norm of GeneralizeGamma-space -Gamma(p,m,w) when it is reflexive. For the purpose, we use the notion of relative rearrangement and new additional results on this concept. Moreover, we prove that the space G-Gamma(p,m,w) is reflexive under the conditions that m > 1 and p > 2.

Relative rearrangement method for estimating dual norms / Fiorenza, Alberto; J. M., Rakotoson; L., Zitouni. - In: INDIANA UNIVERSITY MATHEMATICS JOURNAL. - ISSN 0022-2518. - STAMPA. - 58:3(2009), pp. 1127-1150.

Relative rearrangement method for estimating dual norms

FIORENZA, ALBERTO;
2009

Abstract

The Generalized-Gamma-Space G-Gamma(p,m,w) contains many classical rearrangement invariant spaces. Here we study its associate space and we estimate its associate norm. In particular, we characterize all optimal functions u achieving the associate norm of GeneralizeGamma-space -Gamma(p,m,w) when it is reflexive. For the purpose, we use the notion of relative rearrangement and new additional results on this concept. Moreover, we prove that the space G-Gamma(p,m,w) is reflexive under the conditions that m > 1 and p > 2.
2009
Relative rearrangement method for estimating dual norms / Fiorenza, Alberto; J. M., Rakotoson; L., Zitouni. - In: INDIANA UNIVERSITY MATHEMATICS JOURNAL. - ISSN 0022-2518. - STAMPA. - 58:3(2009), pp. 1127-1150.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/307900
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