Weighted estimates for bilinear fractional integral operator on the Heisenberg group

2022/02/16 by Abhishek Ghosh, Rajesh Singh, Ghosh, Abhishek +1
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2202.07898

openalex publication_date 2022/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we introduce 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 L^p(ℍⁿ, |x|^αp)× L^q(ℍⁿ, |x|^βq) to L^r(ℍⁿ, |x|^-γr).

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