Global estimates for the maximal operator and homotopy operator

Yuming Xing; Shusen Ding

doi:10.7153/mia-15-03

Global estimates for the maximal operator and homotopy operator

Yuming Xing^*
, Shusen Ding

^*Corresponding author for this work

School of Mathematics

Seattle University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper, we develop some estimates for the Hardy-Littlewood maximal operator and the sharp maximal operator. We also establish Ls-norm inequalities related to the composite operators.

Original language	English
Pages (from-to)	27-35
Number of pages	9
Journal	Mathematical Inequalities and Applications
Volume	15
Issue number	1
DOIs	https://doi.org/10.7153/mia-15-03
State	Published - Jan 2012

Keywords

Differential forms
Harmonic equations
Homotopy operator
Maximal operator

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title = "Global estimates for the maximal operator and homotopy operator",

abstract = "In this paper, we develop some estimates for the Hardy-Littlewood maximal operator and the sharp maximal operator. We also establish Ls-norm inequalities related to the composite operators.",

keywords = "Differential forms, Harmonic equations, Homotopy operator, Maximal operator",

author = "Yuming Xing and Shusen Ding",

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KW - Differential forms

KW - Harmonic equations

KW - Homotopy operator

KW - Maximal operator

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DO - 10.7153/mia-15-03

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Global estimates for the maximal operator and homotopy operator

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Keywords

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