A note on the Muckenhoupt class A₁(ℝ)

2025/07/14 by Eleftherios N. Nikolidakis, Nikolidakis, Eleftherios N., Andreas G. Tolias +1
Mathematics · #Advanced Harmonic Analysis Research #Analytic and geometric function theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2507.10788

openalex publication_date 2025/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a direct proof of the best possible reverse Holder inequality satisfied by every weight defined on the interval (0,1) with A1-constant equal to c > 1.

Citations

• A₁ weights on \R, an alternative approach

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