Rearrangement-invariant hulls of weighted Lebesgue spaces

被引：0

作者：

Krepela, Martin ^{[1
]}

Mihula, Zdenek ^{[1
]}

Soria, Javier ^{[2
]}

机构：

[1] Czech Tech Univ, Fac Elect Engn, Dept Math, Technicka 2, Prague 6, Czech Republic

[2] Univ Complutense Madrid, Interdisciplinary Math Inst IMI, Dept Anal & Appl Math, Madrid 28040, Spain

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2024年 / 287卷 / 02期

关键词：

Weighted inequalities; Rearrangement-invariant hull; Lorentz spaces; OPERATORS;

D O I：

10.1016/j.jfa.2024.110454

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the rearrangement -invariant hull, with respect to a given measure mu , of weighted Lebesgue spaces. The solution leads us to first consider when this space is contained in the sum of ( L 1 + L infinity )( R, mu ) and the final condition is given in terms of embeddings for weighted Lorentz spaces. (c) 2024 Elsevier Inc. All rights reserved.

引用

页数：20

共 14 条

[1] MAXIMAL FUNCTIONS ON CLASSICAL LORENTZ SPACES AND HARDY INEQUALITY WITH WEIGHTS FOR NONINCREASING FUNCTIONS [J].

ARINO, MA ;

MUCKENHOUPT, B .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 320 (02) :727-735

[2]

Baernstein A.II, 2019, NEW MATH MONOGRAPHS, V36

[3]

Bennett C., 1988, PURE APPL MATH, V129

[4] ON A FAMILY OF FULLY NONLINEAR INTEGRODIFFERENTIAL OPERATORS: FROM FRACTIONAL LAPLACIAN TO NONLOCAL MONGE-AMPÈRE [J].

Caffarelli, Luis A. ;

Soria-Carro, Maria .

ANALYSIS & PDE, 2024, 17 (01) :243-279

[5]

Carro MJ, 2007, MEM AM MATH SOC, V187, pIX

[6] Higher-order Sobolev embeddings and isoperimetric inequalities [J].

Cianchi, Andrea ;

Pick, Lubos ;

Slavikova, Lenka .

ADVANCES IN MATHEMATICS, 2015, 273 :568-650

[7] Optimal Sobolev imbeddings involving rearrangement-invariant quasinorms [J].

Edmunds, DE ;

Kerman, R ;

Pick, L .

JOURNAL OF FUNCTIONAL ANALYSIS, 2000, 170 (02) :307-355

[8]

Grey W.R., 2015, PhD thesis

[9]

Haroske DD, 2007, CH CRC RES NOTES MAT, V437, P3

[10]

Kabaila V.P., 1981, Lith. Math. J., V21, P342, DOI [DOI 10.1007/BF00969854, 10.1007/BF00969854]

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