| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4624417 | Transactions of A. Razmadze Mathematical Institute | 2016 | 34 Pages |
Abstract
In this paper we introduced and studied the maximal function (GG-maximal function) and the Riesz potential (GG-Riesz potential) generated by Gegenbauer differential operator Gλ=(x2−1)12−λddx(x2−1)λ+12ddx. The Lp,λLp,λ boundedness of the GG-maximal operator is obtained. Hardy–Littlewood–Sobolev theorem of GG-Riesz potential on Lp,λLp,λ spaces is established.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Elman J. Ibrahimov, Ali Akbulut,