Weighted inequalities for a maximal function on the real line
Published online by Cambridge University Press: 11 July 2007
Abstract
We consider the maximal operator defined on the real line by which is related to the Cesàro convergence of the singular integrals. We characterize the weights w for which Mα is of weak type, strong type and restricted weak type (p, p) with respect to the measure w(x) dx.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 131 , Issue 2 , April 2001 , pp. 267 - 277
- Copyright
- Copyright © Royal Society of Edinburgh 2001
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