New properties of small Lebesgue spaces and their applications

被引：34
|
作者：
Fiorenza, A
Rakotoson, JM
机构：
[1] Univ Naples Federico II, Dipartimento Costruz & Metodi Matemat Architettur, I-80134 Naples, Italy
[2] Univ Poitiers, Teleport Dept Math 2, Lab Applicat Math, F-86962 Futuroscope, France
来源：
MATHEMATISCHE ANNALEN | 2003年 / 326卷 / 03期
关键词：
D O I：
10.1007/s00208-003-0436-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove some new properties of the small Lebesgue spaces introduced by Fiorenza in [F]. Combining these properties with the Poincare-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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页码：543 / 561
页数：19
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