Sparse bilinear forms for Bochner Riesz multipliers and applications

Sparse bilinear forms for Bochner Riesz multipliers and applications

We use the very recent approach developed by Lacey in [An elementary proof of the A2 Bound, Israel J. Math., to appear] and extended by Bernicot, Frey and Petermichl in [Sharp weighted norm estimates beyond Calderón‐Zygmund theory, Anal. PDE 9 (2016) 1079–1113], in order to control Bochner–Riesz ope...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Transactions of the London Mathematical Society 2017-12, Vol.4 (1), p.110-128
Hauptverfasser: Benea, Cristina, Bernicot, Frédéric, Luque, Teresa
Format: Artikel
Sprache:eng
Schlagworte:
42B15
42B25
42B35 (primary)
Estimates
Partial differential equations
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We use the very recent approach developed by Lacey in [An elementary proof of the A2 Bound, Israel J. Math., to appear] and extended by Bernicot, Frey and Petermichl in [Sharp weighted norm estimates beyond Calderón‐Zygmund theory, Anal. PDE 9 (2016) 1079–1113], in order to control Bochner–Riesz operators by a sparse bilinear form. In this way, new quantitative weighted estimates, as well as vector‐valued inequalities are deduced.
ISSN:2052-4986
2052-4986
DOI:10.1112/tlm3.12005