We apply the techniques of monotone and relative rearrangements to the nonrearrangernent invariant spaces $L^{p()}(\Omega)$ with variable exponent. We obtain pointwise relations for the relative rearrangement which are applied to derive the Sobolev embedding theorem with eventually discontinuous exponents.
Relative rearrangement and Lebesgue spaces $L^{p()}$ with variable exponent / Fiorenza, Alberto; J. M., Rakotoson. - In: JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES. - ISSN 0021-7824. - STAMPA. - 88:(2007), pp. 506-521.
Relative rearrangement and Lebesgue spaces $L^{p()}$ with variable exponent
FIORENZA, ALBERTO;
2007
Abstract
We apply the techniques of monotone and relative rearrangements to the nonrearrangernent invariant spaces $L^{p()}(\Omega)$ with variable exponent. We obtain pointwise relations for the relative rearrangement which are applied to derive the Sobolev embedding theorem with eventually discontinuous exponents.File in questo prodotto:
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