New properties of small Lebesgue spaces and their applications

被引：0

作者：

A. Fiorenza

J.M. Rakotoson

机构：

[1] Dipartimento di Costruzioni e Metodi Matematici in Architettura,

[2] Universitá di Napoli ``Federico II'',undefined

[3] via Monteoliveto,undefined

[4] 3,undefined

[5] I-80134 Napoli,undefined

[6] Italy (e-mail: fiorenza@unina.it),undefined

[7] Laboratoire d'Applications des Mathématiques,undefined

[8] Teleport 2 Département de Mathématiques,undefined

[9] Université de Poitiers,undefined

[10] B.P. 30179,undefined

[11] 86962 Futuroscope Chasseneuil cedex France (e-mail: rako@mathlabo.univ-poitiers.fr),undefined

来源：

Mathematische Annalen | 2003年 / 326卷

关键词：

Precis Estimate; Lebesgue Space; Quasilinear Equation; Relative Rearrangement; Small Lebesgue Space;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：543 / 561

页数：18