Subinner-free outer factorizations on an annulus

2022/06/06 by Georgios Tsikalas, Tsikalas, Georgios · 1 citation
Mathematics · #47A25 #Advanced Harmonic Analysis Research #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Primary: 47A63 #Secondary: 47A60 #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2206.02752

openalex publication_date 2022/06/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recent work of Aleman, Hartz, McCarthy and Richter generalizes the classical inner-outer factorization of Hardy space functions to the complete Pick space setting, establishing an essentially unique "subinner-free outer" factorization. In this note, we investigate certain special examples of such factorizations in the setting of the function space induced on the annulus A_r=\r

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• Dilation on an annulus and von Neumann's inequality on certain varieties in the biball

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