An embedding theorem in Lorentz-Zygmund spaces

被引：16

作者：

Greco, L

Moscariello, G

机构：

[1] Dipartimento di Matematica e Application 'R. Caccioppoli', Compl. Universitario Monte S. Angelo, 80126 Napoli, Via Cintia

来源：

POTENTIAL ANALYSIS | 1996年 / 5卷 / 06期

关键词：

Sobolev embedding theorems; decreasing rearrangements; Hardy inequalities;

D O I：

10.1007/BF00275795

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study Sobolev embedding theorems in Lorentz-Zygmund spaces. Some limiting cases are considered.

引用

页码：581 / 590

页数：10

共 18 条

[1] ON OPTIMIZATION PROBLEMS WITH PRESCRIBED REARRANGEMENTS [J].

ALVINO, A ;

TROMBETTI, G ;

LIONS, PL .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1989, 13 (02) :185-220

[2]

Alvino A, 1996, POTENTIAL ANAL, V5, P273

[3]

ALVINO A., 1977, Boll. Un. Mat. Ital. A, V14, P148

[4]

Bennet C., 1988, INTERPOLATION OPERAT

[5]

BENNETT C, 1980, DISS MATH, V175

[6]

BREZIS H, 1982, NONLINEAR PARITAL DI, V2

[7]

BROTHERS JE, 1988, J REINE ANGEW MATH, V384, P153

[8]

Federer H., 1959, Trans. Amer. Math. Soc., V93, P418, DOI [DOI 10.1090/S0002-9947-1959-0110078-1, 10.1090/S0002-9947-1959-0110078-1, DOI 10.2307/1993504]

[9] Sobolev imbedding theorems in borderline cases [J].

Fusco, N ;

Lions, PL ;

Sbordone, C .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (02) :561-565

[10]

Gilbarg D, 1977, ELLIPTIC PARTIAL DIF

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