Dyadic Fefferman–Stein inequalities and the equivalence of Haar bases on weighted Lebesgue spaces
Published online by Cambridge University Press: 11 February 2011
Abstract
We give sufficient conditions on two dyadic systems to obtain the equivalence of corresponding Haar systems on dyadic weighted Lebesgue spaces on spaces of homogeneous type. In order to obtain these results, we prove a Fefferman–Stein weighted inequality for vector-valued dyadic Hardy–Littlewood maximal operators with dyadic weights in this general setting.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 141 , Issue 1 , February 2011 , pp. 1 - 22
- Copyright
- Copyright © Royal Society of Edinburgh 2011
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