Abstract.
We prove some new properties of the small Lebesgue spaces introduced by Fiorenza in [F]. Combining these properties with the Poincaré-Sobolev inequalities for the relative rearrangement (see [R1]), we derive some new and precises estimates either for small Lebesgue-Sobolev spaces or for quasilinear equations with data in the small Lebesgue spaces.
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Received: 25 January 2002 / Revised version: 26 November 2002 / Published online: 8 April 2003
This work has been partially performed as a part of a National Research Project supported by M.U.R.S.T. and supported by the Programma di Scambi Internazionali per la Breve Mobilita' instituted by Universita di Napoli ``Federico II''
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Fiorenza, A., Rakotoson, J. New properties of small Lebesgue spaces and their applications. Math. Ann. 326, 543–561 (2003). https://doi.org/10.1007/s00208-003-0436-7
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DOI: https://doi.org/10.1007/s00208-003-0436-7