Compact and continuous embeddings of logarithmic Bessel potential spaces

被引：10

作者：

Edmunds, DE

Gurka, P

Opic, B

机构：

[1] Univ Sussex, Dept Math, Brighton BN1 9RF, E Sussex, England

[2] Czech Univ Agr, Dept Math, Prague 16521 6, Czech Republic

[3] Acad Sci Czech Republ, Inst Math, CR-11567 Prague, Czech Republic

来源：

STUDIA MATHEMATICA | 2005年 / 168卷 / 03期

关键词：

Bessel potential spaces; spaces of Holder-continuous functions; Lorentz-Zygmund spaces; continuous embeddings; compact embeddings;

D O I：

10.4064/sm168-3-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish compact and continuous embeddings for Bessel potential spaces modelled upon generalized Lorentz-Zygmund spaces. The target spaces are either of Lorentz-Zygmund or Holder type.

引用

页码：229 / 250

页数：22

共 27 条

[11]

Edmunds D. E., 1987, Spectral Theory and Differential Operators

[12]

EDMUNDS DE, 1995, STUD MATH, V115, P151

[13] Sharpness of embeddings in logarithmic Bessel-potential spaces [J].

Edmunds, DE ;

Gurka, P ;

Opic, B .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1996, 126 :995-1009

[14] Optimality of embeddings of logarithmic Bessel potential spaces [J].

Edmunds, DE ;

Gurka, P ;

Opic, B .

QUARTERLY JOURNAL OF MATHEMATICS, 2000, 51 :185-209

[15] On embeddings of logarithmic bessel potential spaces [J].

Edmunds, DE ;

Gurka, P ;

Opic, B .

JOURNAL OF FUNCTIONAL ANALYSIS, 1997, 146 (01) :116-150

[16]

EDMUNDS DE, 1995, INDIANA U MATH J, V44, P19

[17] Norms of embeddings of logarithmic Bessel potential spaces [J].

Edmunds, DE ;

Gurka, P ;

Opic, B .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (08) :2417-2425

[18] Limiting reiteration for real interpolation with slowly varying functions [J].

Gogatishvili, A ;

Opic, B ;

Trebels, W .

MATHEMATISCHE NACHRICHTEN, 2005, 278 (1-2) :86-107

[19]

KUFNER A, 1977, FUNCTIONS SPACES

[20]

Lorentz GG., 1951, Pacific J. Math., V1, P411, DOI [10.2140/pjm.1951.1.411, DOI 10.2140/PJM.1951.1.411]

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