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A DIMENSION-DEPENDENT MAXIMAL INEQUALITY
Published online by Cambridge University Press: 14 October 2002
Abstract
In this short note we show that $\sup\{\|M_\nu\|:\nu\text{ is a measure on }\mathbb{R}^n\}$, where $\|M_\nu\|$ denotes the centred Hardy–Littlewood maximal operator, depends exponentially on $n$.
AMS 2000 Mathematics subject classification: Primary 42B25
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 45 , Issue 3 , October 2002 , pp. 547 - 548
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- Copyright © Edinburgh Mathematical Society 2002
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