Some new light on a few classical results

2013/11/16 by Ciprian Demeter, Demeter, Ciprian, Prabath Silva +1
Mathematics · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Mathematical Analysis and Transform Methods #math.CA

paper · pdf · doi:10.48550/arxiv.1311.4092

arxiv created 2013/11/16 · openalex publication_date 2013/11/16 · arxiv updated 2013/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this paper is to describe a unified approach to proving vector-valued inequalities without relying on the full strength of weighted theory. Our applications include the Fefferman-Stein and Cordoba-Fefferman inequalities, as well as the vector-valued Carleson operator. Using this approach we also produce a proof of the boundedness of the classical bi-parameter multiplier operators, that does not rely on product theory. Our arguments are inspired by the vector valued restricted type interpolation used in [1].

Citations

• Some Maximal Inequalities

Related

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