Multilinear Calder on-Zygmund Operators and Their Commutators with BMO Functions in Herz-Morrey Spaces with Variable Smoothness and Integrability

In this paper, we obtain that multilinear Calder_on-Zygmund operators and their commutators with BMO functions are bounded on products of Herz-Morrey spaces with variable smoothness and integrability. The vector-valued setting of multilinear Calder_on-Zygmund operators is also considered.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:数学研究通讯:英文版 2017, Vol.33 (3), p.238-258
Hauptverfasser: Hu Yuan-zhu, Xu Jing-shi
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we obtain that multilinear Calder_on-Zygmund operators and their commutators with BMO functions are bounded on products of Herz-Morrey spaces with variable smoothness and integrability. The vector-valued setting of multilinear Calder_on-Zygmund operators is also considered.
ISSN:1674-5647