Article contents
MIXED NORM ESTIMATES FOR POTENTIAL OPERATORS RELATED TO THE RADON TRANSFORM
Published online by Cambridge University Press: 01 April 2008
Abstract
We define potential operators on hyperplanes and give sharp mixed norm inequalities for them. One of the operators coincides with the Radon transform for which mixed norm estimates are known but in reverse order. Those inequalities will be crucial in our proofs.
MSC classification
- Type
- Research Article
- Information
- Copyright
- Copyright © 2008 Australian Mathematical Society
Footnotes
Both authors supported in part by grant BFM2002-01550 of MCYT (Spain) and FEDER, and by European Project HPRN-CT-2001-00273-HARP.
References
- 1
- Cited by