A note on one-sided extrapolation of compactness and applications

In this paper one-sided counterparts of compactness extrapolation results of Hytönen and Lappas (2021) are provided. As a consequence, compactness results for one-sided singular integrals, commutators of one-sided fractional integrals and a certain class of Lr-Hörmander operators are given. The results for commutators of Lr-Hörmander operators seem new even in the classical setting.

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Publication Details

Journal
Studia Mathematica
Published
2025-08-08
DOI
https://doi.org/10.4064/sm240717-12-3
Primary Topic
Advanced Harmonic Analysis Research
Type
article
Field-Weighted Citation Impact
0.00

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article

A note on one-sided extrapolation of compactness and applications

F. J. Martín-Reyes, Israel P. Rivera-Rı́os
Studia Mathematica
Advanced Harmonic Analysis Research
article

A note on one-sided extrapolation of compactness and applications

F. J. Martín-Reyes, Israel P. Rivera-Rı́os
article en

Abstract

In this paper one-sided counterparts of compactness extrapolation results of Hytönen and Lappas (2021) are provided. As a consequence, compactness results for one-sided singular integrals, commutators of one-sided fractional integrals and a certain class of Lr-Hörmander operators are given. The results for commutators of Lr-Hörmander operators seem new even in the classical setting.

Studia Mathematica
Universidad de Málaga (ES)
Ministerio de Ciencia e Innovación, Junta de Andalucía
Openalex Percentile: Top 69%
Advanced Harmonic Analysis Research
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