B_w^u-function spaces and their interpolation

2014/10/23 by Eiichi Nakai, Nakai, Eiichi, Takuya Sobukawa +1
Mathematics · #42B20 #42B25 #46B70 #46E35 #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Mathematical Approximation and Integration #Primary 42B35 #Secondary 46E30

paper · pdf · doi:10.48550/arxiv.1410.6327

openalex publication_date 2014/10/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce B_w^u-function spaces which unify Lebesgue, Morrey-Campanato, Lipschitz, B^p, CMO, local Morrey-type spaces, etc., and investigate the interpolation property of B_w^u-function spaces. We also apply it to the boundedness of linear and sublinear operators, for example, the Hardy-Littlewood maximal and fractional maximal operators, singular and fractional integral operators with rough kernel, the Littlewood-Paley operator, Marcinkiewicz operator, and so on.

Citations

• On functions of bounded mean oscillation
• Generalized harmonic analysis

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