Lan Kunquan: Compactness of Riemann-Liouville fractional integral operators. (2020)
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Abstract
We obtain results on compactness of two linear Hammerstein integral operators with singularities, and apply the results to give new proof that Riemann–Liouville fractional integral operators of order α ∈ (0, 1) map L p (0, 1) to C[0, 1] and are compact for each p ∈ 1 1−α . We show that the spectral radii of the Riemann–Liouville fractional operators are zero.
| Item Type: | Journal |
|---|---|
| Other title: | Honoring the career of Jeffrey R. L. Webb on the occasion of his seventy-fifth birthday |
| Publication full: | Electronic journal of qualitative theory of differential equations : special edition |
| Date: | 2020 |
| Volume: | 4 |
| Number: | 84 |
| ISSN: | 1417-3875 |
| Number of Pages: | 15 |
| Language: | English |
| DOI: | 10.14232/ejqtde.2020.1.84 |
| Uncontrolled Keywords: | Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 13-15. ; összefoglalás angol nyelven |
| Date Deposited: | 2021. Nov. 12. 12:04 |
| Last Modified: | 2021. Nov. 12. 12:04 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73774 |
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