A characterization of the inclusions between mixed norm spaces

2014/10/17 by Irina Arévalo, Arévalo, Irina · 1 citation
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #math.CV

paper · pdf · doi:10.48550/arxiv.1410.4810

openalex publication_date 2014/10/17 · arxiv created 2015/06/24 · arxiv updated 2015/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the mixed norm spaces of Hardy type studied by Flett and others. We study some properties of these spaces related to mean and pointwise growth and complement some partial results by various authors by giving a complete characterization of the inclusion between H(p,q,α) and H(u,v,β), depending on the parameters p, q, α, u, v and β.

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• Constructive Approximation in Mixed norm Spaces

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