A note on one sided extrapolation of compactness and applications

2024/06/17 by F. J. Martín-Reyes, Martín-Reyes, Francisco Javier, Israel P. Rivera-Rı́os +1 · 1 citation
Computer Science · Mathematics · #Advanced Banach Space Theory #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2406.11663

openalex publication_date 2024/06/17 · openalex created_date 2024/06/19 · openalex updated_date 2026/07/28

Abstract

In this paper one sided counterparts of compactness extrapolation results of Hytönen and Lappas are provided. As a consequence of those results, compactness results for one sided singular integrals, commutators of one sided fractional integrals and a certain class of L^r-Hörmander operators are provided. The results for commutators of L^r-Hörmander operators seem new even in the classical setting.

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• Extrapolation for bilinear compact operators in the variable exponent setting

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