SOME RESULTS FOR THE FRACTIONAL INTEGRAL OPERATOR DEFINED ON THE SOBOLEV SPACES

被引：0

作者：

Gurdal, Mehmet ^{[1
]}

Nabiev, Anar Adiloglu ^{[2
]}

Ayyildiz, Meral ^{[1
]}

机构：

[1] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkey

[2] Suleyman Demirel Univ, Dept Comp Engn, TR-32260 Isparta, Turkey

来源：

JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2022年 / 40卷 / 1-2期

关键词：

Riemann-Liouville fractional integration operator; invariant subspaces; Sobolev space; lattice; unicellularity; Duhamel product; EXTENDED EIGENVECTORS; INVARIANT SUBSPACES; DIFFERENCE OPERATOR; EIGENVALUES;

D O I：

10.14317/jami.2022.173

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigated the invariant subspaces of the fractional integral operator in the Sobolev space W-p(k) [0, 1] and prove unicellularity of the operator J(alpha) by using the Duhamel product.

引用

页码：173 / 184

页数：12

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