The Fatou property of block spaces

2014/04/10 by Yoshihiro Sawano, Hitoshi Tanaka, Sawano, Yoshihiro +1 · 3 citations
Mathematics · #42A45 #42B30 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #math.CA #msc:42A45 #msc:42B30

paper · pdf · doi:10.48550/arxiv.1404.2688

arxiv created 2014/04/10 · openalex publication_date 2014/04/10 · arxiv updated 2014/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Around thirty years ago, block spaces, which are the predual of Morrey spaces, had been considered. However, it seems that there is no proof that block spaces satisfy the Fatou property. In this paper the Fatou property for block spaces is verified and the predual of block spaces is characterized.

Cited by

• Some capacitary strong type inequalities and related function spaces
• Characterization of Vanishing Campanato Spaces via Ball Banach Function Spaces and Its Applications
• The preduals of Banach space valued Bourgain-Morrey spaces

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