Sharp bounds for the multilinear integral operators on Heisenberg group BMO space

In this paper, we study m-linear n-demensional Hardy-Littlewood-P\'{o}lya operator and m-linear n-demensional Hilbert operator on Heisenberg group BMO space. We obtain that the above two $m$-linear n-demensional operators is bounded in the BMO space of the Heisenberg group.

Gespeichert in:

Bibliographische Detailangaben
Hauptverfasser:	Liang, Huan, Li, Xiang, Yan, Dunyan
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Analysis of PDEs Mathematics - Classical Analysis and ODEs
Online-Zugang:	Volltext bestellen
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	In this paper, we study m-linear n-demensional Hardy-Littlewood-P\'{o}lya operator and m-linear n-demensional Hilbert operator on Heisenberg group BMO space. We obtain that the above two $m$-linear n-demensional operators is bounded in the BMO space of the Heisenberg group.
DOI:	10.48550/arxiv.2305.12828