A weak type estimate for rough singular integrals

A weak type estimate for rough singular integrals

We obtain a weak type (1, 1) estimate for a maximal operator associated with the classical rough homogeneous singular integrals $T_\Omega$. In particular, this provides a different approach to a sparse domination for $T_\Omega$ obtained recently by Conde-Alonso, Culiuc, Di Plinio and Ou.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Revista matemática iberoamericana 2019-01, Vol.35 (5), p.1583-1602
1. Verfasser: Lerner, Andrei
Format: Artikel
Sprache:eng ; spa
Schlagworte:
Biphenyl (Compound)
Fourier analysis
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We obtain a weak type (1, 1) estimate for a maximal operator associated with the classical rough homogeneous singular integrals $T_\Omega$. In particular, this provides a different approach to a sparse domination for $T_\Omega$ obtained recently by Conde-Alonso, Culiuc, Di Plinio and Ou.
ISSN:0213-2230
2235-0616
DOI:10.4171/rmi/1094