Sobolev Type Spaces Based on Lorentz-Karamata Spaces

被引：0
|
作者：
Eryilmaz, Ilker [1 ]
机构：
[1] Ondokuz Mayis Univ, Fac Sci & Arts, Dept Math, TR-55139 Kurupelit, Samsun, Turkey
来源：
FILOMAT | 2016年 / 30卷 / 11期
关键词：
Slowly varying function; Lorentz-Karamata space; Sobolev space; FP-algebra; weak factorization; ALGEBRAS; SUBALGEBRAS; EMBEDDINGS;
D O I：
10.2298/FIL1611023E
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, firstly Lorentz-Karamata-Sobolev spaces W-L(p,q;b)(k) (R-n) of integer order are introduced and some of their important properties are emphasized. Also, Banach spaces A(L(p,q;b))(k) (R-n) = L-1 (R-n) boolean AND W-L(p,q;b)(k) (R-n) (Lorentz-Karamata-Sobolev algebras) are studied. Using a result of H.C.Wang, it is showed that Banach convolution algebras A(L(p,q;b))(k) (R-n) don't have weak factorization and the multiplier algebra of A(L(p,q;b))(k) (R-n) coincides with the measure algebra M(R-n) for 1 < p < infinity and 1 <= q < infinity.
引用
收藏
页码：3023 / 3032
页数：10
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