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Extrapolation on Hardy spaces and applications

2020/01/25 by Odysseas Bakas, Bakas, Odysseas
Mathematics · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #math.CA #math.CV #math.FA

paper · pdf · doi:10.48550/arxiv.2001.09368

19 pages. To appear in the special issue of Pure and Applied Functional Analysis on Extrapolation Theory

arxiv created 2020/01/25 · openalex publication_date 2020/01/25 · arxiv updated 2020/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this survey article some classical results concerning real interpolation between Hardy spaces are briefly presented and then it is explained how those results can be used to establish Yano-type extrapolation theorems for Hardy spaces. Some new extensions and variants of certain classical endpoint theorems in harmonic analysis are obtained as applications of the extrapolation results presented here.

Citations

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