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Rearrangement invariant optimal range for Hardy type operators

2013/11/14 by Javier Soria, Soria, Javier, Pedro Tradacete +1
Mathematics · #26D10 #46E30 #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.CA #math.FA #msc:26D10 #msc:46E30

paper · pdf · doi:10.48550/arxiv.1311.3582

25 pages

arxiv created 2013/11/14 · openalex publication_date 2013/11/14 · arxiv updated 2013/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We characterize, in the context of rearrangement invariant spaces, the optimal range space for a class of monotone operators related to the Hardy operator. The connection between optimal range and optimal domain for these operators is carefully analyzed.

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