Boundedness of singular integrals on the flag Hardy spaces on Heisenberg group

2017/02/23 by Guorong Hu, Ji Li, Hu, Guorong +1
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1702.07201

openalex publication_date 2017/02/23 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We prove that the classical one-parameter convolution singular integrals on the Heisenberg group are bounded on multiparameter flag Hardy spaces, which satisfy `intermediate' dilation between the one-parameter anisotropic dilation and the product dilation on ℂⁿ× ℝ implicitly.

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