Sharp transference principle for BMO and A_p

2019/08/26 by Dmitriy Stolyarov, Stolyarov, Dmitriy, Pavel B. Zatitskiy +1
Mathematics · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.1908.09497

openalex publication_date 2019/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a version of the transference principle. It says that certain optimization problems for functions on the circle, the interval, and the line have the same answers. In particular, we show that the sharp constants in the John--Nirenberg inequalities for naturally defined BMO-spaces on the circle, the interval, and the line coincide. The same principle holds true for the Reverse Hölder inequality for Muckenhoupt weights.

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