Hardy Spaces (1

2017/08/03 by Guantie Deng, Rong Liu, Deng, Guantie +1
Mathematics · #30E20 #30E25 #30H10 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1708.01188

openalex publication_date 2017/08/03 · openalex created_date 2019/03/02 · openalex updated_date 2026/07/28

Abstract

Let Γ be a Lipschitz curve on the complex plane ℂ and Ω₊ is the domain above Γ, we define Hardy space H^p(Ω₊) as the set of holomorphic functions F satisfying sup_τ>0(∫_Γ |F(ζ+iτ)|^p | dζ|)^\frac1p< ∞. We mainly focus on the case of 1

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