The Hardy–Littlewood–Sobolev theorem for Riesz potential generated by Gegenbauer operator
In this paper we introduced and studied the maximal function (G-maximal function) and the Riesz potential (G-Riesz potential) generated by Gegenbauer differential operator Gλ=(x2−1)12−λddx(x2−1)λ+12ddx. The Lp,λ boundedness of the G-maximal operator is obtained. Hardy–Littlewood–Sobolev theorem of G...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2016-09-01
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| Series: | Transactions of A. Razmadze Mathematical Institute |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2346809216300307 |