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The one-sided dyadic Hardy—Littlewood maximal operator
Published online by Cambridge University Press: 03 October 2014
Abstract
The main aim of this paper is to introduce an appropriate dyadic one-sided maximal operator , smaller than the one-sided Hardy–Littlewood maximal operator M+ but such that it controls M+ in a similar way to how the usual dyadic maximal operator controls the Hardy-Littlewood maximal operator. We characterize the weighted inequalities for this dyadic one-sided maximal operator.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 144 , Issue 5 , October 2014 , pp. 991 - 1006
- Copyright
- Copyright © Royal Society of Edinburgh 2014
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