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arXiv · 2202.07898

Weighted estimates for bilinear fractional integral operator on the Heisenberg group

Abhishek Ghosh·Rajesh K. Singh
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Abstract

In this article, we introduce an analogue of Kenig and Stein's bilinear fractional integral operator on the Heisenberg group $\mathbb{H}^n$. We completely characterize exponents $\alpha, \beta$ and $\gamma$ such that the operator is bounded from $L^{p}(\mathbb{H}^n, |x|^{\alpha p})\times L^{q}(\mathbb{H}^n, |x|^{\beta q})$ to $L^{r}(\mathbb{H}^n, |x|^{-\gamma r})$.

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Abhishek Ghosh, Rajesh K. Singh. 2022-02-16. Weighted estimates for bilinear fractional integral operator on the Heisenberg group. https://arxiv.org/abs/2202.07898

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