Weighted estimates for bilinear fractional integral operator on the Heisenberg group
نویسندگان
چکیده
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 γ such that is bounded from Lp(Hn,|x|αp)×Lq(Hn,|x|βq) to Lr(Hn,|x|−γr). Also, analogous sharp results are obtained Euclidean space.
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ژورنال
عنوان ژورنال: Bulletin Des Sciences Mathematiques
سال: 2023
ISSN: ['0007-4497', '1952-4773']
DOI: https://doi.org/10.1016/j.bulsci.2023.103310