Ghosh, A and Singh, RK (2023) Weighted estimates for bilinear fractional integral operator on the Heisenberg group. In: Bulletin des Sciences Mathematiques, 187 .
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Official URL: https://doi.org/10.1016/j.bulsci.2023.103310
Abstract
In this article, we consider an analogue of Kenig and Stein's bilinear fractional integral operator on the Heisenberg group Hn. We completely characterize exponents α,β and γ such that the operator is bounded from Lp(Hn,|x|αp)×Lq(Hn,|x|βq) to Lr(Hn,|x|−γr). Also, analogous sharp results are obtained on the Euclidean space.
| Item Type: | Journal Article |
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| Publication: | Bulletin des Sciences Mathematiques |
| Publisher: | Elsevier Masson s.r.l. |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Keywords: | Bilinear fractional operator; Heisenberg group; Weighted Lp spaces |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 27 Nov 2023 09:43 |
| Last Modified: | 27 Nov 2023 09:43 |
| URI: | https://eprints.iisc.ac.in/id/eprint/82886 |
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