Kato-Ponce estimates for fractional sublaplacians

2021/07/21 by Luca Fanelli, Fanelli, L., Luz Roncal +1 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.2107.10235

openalex publication_date 2021/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a proof of commutator estimates for fractional powers of the sublaplacian on the Heisenberg group. Our approach is based on pointwise and L^p estimates involving square fractional integrals and Littlewood-Paley square functions.

Cited by

• Multi-parameter fractional integration on Heisenberg group

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