Boundedness of strong maximal functions with respect to non-doubling measures

Abstract The main purpose of this paper is to establish a boundedness result for strong maximal functions with respect to certain non-doubling measures in R n $\mathbb{R}^{n}$ . More precisely, let d μ ( x 1 , … , x n ) = d μ 1 ( x 1 ) ⋯ d μ n ( x n ) $d\mu(x_{1}, \ldots, x_{n})=d\mu_{1}(x_{1})\cdot...

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Bibliographic Details
Main Authors: Wei Ding, LiXin Jiang, YuePing Zhu
Format: Article
Language:English
Published: SpringerOpen 2016-11-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-016-1229-3