Hardy's inequalities for monotone functions on partly ordered measure spaces
Published online by Cambridge University Press: 12 July 2007
Abstract
We characterize the weighted Hardy inequalities for monotone functions in In dimension n = 1, this recovers the standard theory of Bp weights. For n > 1, the result was previously only known for the case p = 1. In fact, our main theorem is proved in the more general setting of partly ordered measure spaces.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 136 , Issue 5 , October 2006 , pp. 909 - 919
- Copyright
- Copyright © Royal Society of Edinburgh 2006
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