A note on the boundedness of discrete commutators on Morrey spaces and their preduals

2016/06/09 by Yoshihiro Sawano, Sawano, Yoshihiro
Mathematics · #26B33 #41E17 (Primary) #42B25 #42B35 (Secondary) #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1606.02791

openalex publication_date 2016/06/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Dyadic fractional integral operators are shown to be bounded on Morrey spaces and their preduals. It seems that the proof of the boundedness by means of dyadic fractional integral operators is effective particularly on the preduals. In the present paper the commutators are proved to be bounded as well.

Citations

• On commutators of singular integrals and bilinear singular integrals

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