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The one-sided Ap conditions and local maximal operator
Published online by Cambridge University Press: 07 November 2011
Abstract
We introduce the one-sided local maximal operator and study its connection to the one-sided Ap conditions. We get a new characterization of the boundedness of the one-sided maximal operator on a quasi-Banach function space. We obtain applications to weighted Lebesgue spaces and variable-exponent Lebesgue spaces.
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- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 55 , Issue 1 , February 2012 , pp. 79 - 104
- Copyright
- Copyright © Edinburgh Mathematical Society 2011
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