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.
引用
收藏
页码：543 / 561
页数：19
相关论文
共 50 条
  • [31] On Some Properties of Convolutions in Variable Exponent Lebesgue Spaces
    Israfilov, Daniyal M.
    Yirtici, Elife
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2017, 11 (08) : 1817 - 1824
  • [32] On Some Properties of Convolutions in Variable Exponent Lebesgue Spaces
    Daniyal M. Israfilov
    Elife Yirtici
    Complex Analysis and Operator Theory, 2017, 11 : 1817 - 1824
  • [33] Fixed point properties and reflexivity in variable Lebesgue spaces
    Dominguez Benavides, T.
    Japon, M. A.
    JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 280 (06)
  • [34] New Gaussian Riesz transforms on variable Lebesgue spaces
    E. Dalmasso
    R. Scotto
    Analysis Mathematica, 2022, 48 : 39 - 67
  • [35] Local grand Lebesgue spaces on quasi-metric measure spaces and some applications
    Humberto Rafeiro
    Stefan Samko
    Salaudin Umarkhadzhiev
    Positivity, 2022, 26
  • [36] Local grand Lebesgue spaces on quasi-metric measure spaces and some applications
    Rafeiro, Humberto
    Samko, Stefan
    Umarkhadzhiev, Salaudin
    POSITIVITY, 2022, 26 (03)
  • [37] New Gaussian Riesz transforms on variable Lebesgue spaces
    Dalmasso, E.
    Scotto, R.
    ANALYSIS MATHEMATICA, 2022, 48 (01) : 39 - 67
  • [38] Bilinear multipliers of weighted Lebesgue spaces and variable exponent Lebesgue spaces
    Öznur Kulak
    A Turan Gürkanlı
    Journal of Inequalities and Applications, 2013
  • [39] Bilinear multipliers of weighted Lebesgue spaces and variable exponent Lebesgue spaces
    Kulak, Oznur
    Gurkanli, A. Turan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [40] SMOOTHING PROPERTIES OF BILINEAR OPERATORS AND LEIBNIZ-TYPE RULES IN LEBESGUE AND MIXED LEBESGUE SPACES
    Hart, Jarod
    Torres, Rodolfo H.
    Wu, Xinfeng
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 370 (12) : 8581 - 8612
12345