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Some weighted estimates for imaginary powers of Laplace operators
Published online by Cambridge University Press: 17 April 2009
Abstract
We study the boundedness of singular integral operators that are imaginary powers of the Laplace operator in Rn, especially from weighted Hardy spaces to weighted Lebesgue spaces where 0 < p ≤ 1. In particular, we prove some estimates for these operators when 0 < p ≤ 1 and w is in the Muckenhoupt's class Aq, for some q > 1.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 65 , Issue 1 , February 2002 , pp. 129 - 135
- Copyright
- Copyright © Australian Mathematical Society 2002
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