Boundedness of the Hilbert Transform on Rearrangement Invariant Spaces

In this self-contained review, the aspects about the applications of decreasing rearrangement techniques to the analysis of pointwise estimates for the Hilbert transform are analyzed. We make a consistent revision of these techniques in the proof of the $L_{p}$-boundedness of the Hilbert transform....

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Bibliographic Details
Main Authors: Héctor Camilo Chaparro, René Erlin Castillo
Format: Article
Language:Spanish
Published: Universidad Industrial de Santander 2024-02-01
Series:Revista Integración
Subjects:
Online Access:https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/15272