A note on Hardy-Littlewood maximal operators

A note on Hardy-Littlewood maximal operators

Abstract In this paper, we will prove that, for 1 < p < ∞ $1< p<\infty$ , the L p $L^{p}$ norm of the truncated centered Hardy-Littlewood maximal operator M γ c $M^{c}_{\gamma}$ equals the norm of the centered Hardy-Littlewood maximal operator for all 0 < γ < ∞ $0<\gamma<\inf...

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Bibliographic Details
Main Authors: Mingquan Wei, Xudong Nie, Di Wu, Dunyan Yan
Format: Article
Language:English
Published: SpringerOpen 2016-01-01
Series:Journal of Inequalities and Applications
Subjects:
Hardy-Littlewood maximal function
truncated operator
L p $L^{p}$ norm
weak ( 1 , 1 ) $(1,1)$ norm
iterated Hardy-Littlewood maximal function
Online Access:http://link.springer.com/article/10.1186/s13660-016-0963-x

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http://link.springer.com/article/10.1186/s13660-016-0963-x

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