Norms of embeddings of logarithmic Bessel potential spaces

被引：26

作者：

Edmunds, DE ^{[1
]}

Gurka, P

Opic, B

机构：

[1] Univ Sussex, Ctr Math Anal & Its Applicat, Brighton BN1 9QH, E Sussex, England

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

[3] Acad Sci Czech Republic, Inst Math, CR-11567 Prague 1, Czech Republic

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 08期

关键词：

generalized Lorentz-Zygmund spaces; logarithmic Bessel potential spaces; Orlicz spaces of double and single exponential types; equivalent norms; embeddings;

D O I：

10.1090/S0002-9939-98-04327-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let Omega be a subset of R-n with finite volume, let nu > 0 and let Phi be a Young function with Phi(t) = exp(exp t(nu)) for large t. We show that the norm on the Orlicz space L-Phi(Omega) is equivalent to [GRAPHICS] We also obtain estimates of the norms of the embeddings of certain logarithmic Bessel potential spaces in L-q(Omega) which are sharp in their dependences on q provided that q is large enough.

引用

页码：2417 / 2425

页数：9

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