Weighted Morrey estimates for Hausdorff operator and its commutator on the Heisenberg group

Autor:	Ruan, Jianmiao, Fan, Dashan, Wu, Qingyan
Rok vydání:	2017
Předmět:	Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	In this paper, we study the high-dimensional Hausdorff operators, defined via a general linear mapping $A$, and their commutators on the weighted Morrey spaces in the setting of the Heisenberg group. Particularly, under some assumption on the mapping $A$, we establish their sharp boundedness on the power weighted Morrey spaces.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1712.10328 Zobrazit plný text záznamu View this record from Arxiv